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Finding the Fourth Proportional to 17,477.61, 24,115.79 and 10,309.78

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Solution

The fourth proportional to 17,477.61, 24,115.79 and 10,309.78 is: 14,225.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.61 : 24,115.79 = 10,309.78 : x
  2. Step 2: Convert to fraction form
    17,477.61/24,115.79 = 10,309.78/x
  3. Step 3: Cross multiply
    17,477.61x = 24,115.79 × 10,309.78
  4. Step 4: Simplify right side
    17,477.61x = 248,628,489.43
  5. Step 5: Solve for x
    x = 248,628,489.43/17,477.61
  6. Step 6: Final answer
    x = 14,225.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.