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Finding the Fourth Proportional to 19,642.49, 29,464 and 5,602.52

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Solution

The fourth proportional to 19,642.49, 29,464 and 5,602.52 is: 8,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.49 : 29,464 = 5,602.52 : x
  2. Step 2: Convert to fraction form
    19,642.49/29,464 = 5,602.52/x
  3. Step 3: Cross multiply
    19,642.49x = 29,464 × 5,602.52
  4. Step 4: Simplify right side
    19,642.49x = 165,072,649.28
  5. Step 5: Solve for x
    x = 165,072,649.28/19,642.49
  6. Step 6: Final answer
    x = 8,403.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.