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Finding the Fourth Proportional to 17,460.61, 24,094.92 and 9,502.84

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Solution

The fourth proportional to 17,460.61, 24,094.92 and 9,502.84 is: 13,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460.61 : 24,094.92 = 9,502.84 : x
  2. Step 2: Convert to fraction form
    17,460.61/24,094.92 = 9,502.84/x
  3. Step 3: Cross multiply
    17,460.61x = 24,094.92 × 9,502.84
  4. Step 4: Simplify right side
    17,460.61x = 228,970,169.57
  5. Step 5: Solve for x
    x = 228,970,169.57/17,460.61
  6. Step 6: Final answer
    x = 13,113.53

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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.