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Finding the Fourth Proportional to 19,614.88, 29,414.51 and 7,128.12

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Solution

The fourth proportional to 19,614.88, 29,414.51 and 7,128.12 is: 10,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614.88 : 29,414.51 = 7,128.12 : x
  2. Step 2: Convert to fraction form
    19,614.88/29,414.51 = 7,128.12/x
  3. Step 3: Cross multiply
    19,614.88x = 29,414.51 × 7,128.12
  4. Step 4: Simplify right side
    19,614.88x = 209,670,157.02
  5. Step 5: Solve for x
    x = 209,670,157.02/19,614.88
  6. Step 6: Final answer
    x = 10,689.34

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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.