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Finding the Fourth Proportional to 17,414.78, 24,032.39 and 9,457

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Solution

The fourth proportional to 17,414.78, 24,032.39 and 9,457 is: 13,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.78 : 24,032.39 = 9,457 : x
  2. Step 2: Convert to fraction form
    17,414.78/24,032.39 = 9,457/x
  3. Step 3: Cross multiply
    17,414.78x = 24,032.39 × 9,457
  4. Step 4: Simplify right side
    17,414.78x = 227,274,312.23
  5. Step 5: Solve for x
    x = 227,274,312.23/17,414.78
  6. Step 6: Final answer
    x = 13,050.66

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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.