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Finding the Fourth Proportional to 23,490.78, 32,417.90 and 13,422.47

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Solution

The fourth proportional to 23,490.78, 32,417.90 and 13,422.47 is: 18,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490.78 : 32,417.90 = 13,422.47 : x
  2. Step 2: Convert to fraction form
    23,490.78/32,417.90 = 13,422.47/x
  3. Step 3: Cross multiply
    23,490.78x = 32,417.90 × 13,422.47
  4. Step 4: Simplify right side
    23,490.78x = 435,128,061.01
  5. Step 5: Solve for x
    x = 435,128,061.01/23,490.78
  6. Step 6: Final answer
    x = 18,523.36

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