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Finding the Fourth Proportional to 17,661.13, 24,374.52 and 10,209.13

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Solution

The fourth proportional to 17,661.13, 24,374.52 and 10,209.13 is: 14,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.13 : 24,374.52 = 10,209.13 : x
  2. Step 2: Convert to fraction form
    17,661.13/24,374.52 = 10,209.13/x
  3. Step 3: Cross multiply
    17,661.13x = 24,374.52 × 10,209.13
  4. Step 4: Simplify right side
    17,661.13x = 248,842,643.37
  5. Step 5: Solve for x
    x = 248,842,643.37/17,661.13
  6. Step 6: Final answer
    x = 14,089.85

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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.