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Finding the Fourth Proportional to 14,259.88, 19,678.14 and 7,972.24

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Solution

The fourth proportional to 14,259.88, 19,678.14 and 7,972.24 is: 11,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.88 : 19,678.14 = 7,972.24 : x
  2. Step 2: Convert to fraction form
    14,259.88/19,678.14 = 7,972.24/x
  3. Step 3: Cross multiply
    14,259.88x = 19,678.14 × 7,972.24
  4. Step 4: Simplify right side
    14,259.88x = 156,878,854.83
  5. Step 5: Solve for x
    x = 156,878,854.83/14,259.88
  6. Step 6: Final answer
    x = 11,001.41

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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.