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Finding the Fourth Proportional to 19,985.72, 29,963.16 and 7,505.47

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Solution

The fourth proportional to 19,985.72, 29,963.16 and 7,505.47 is: 11,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.72 : 29,963.16 = 7,505.47 : x
  2. Step 2: Convert to fraction form
    19,985.72/29,963.16 = 7,505.47/x
  3. Step 3: Cross multiply
    19,985.72x = 29,963.16 × 7,505.47
  4. Step 4: Simplify right side
    19,985.72x = 224,887,523.58
  5. Step 5: Solve for x
    x = 224,887,523.58/19,985.72
  6. Step 6: Final answer
    x = 11,252.41

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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.