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Finding the Fourth Proportional to 14,269.10, 19,691.34 and 7,981.47

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Solution

The fourth proportional to 14,269.10, 19,691.34 and 7,981.47 is: 11,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,269.10 : 19,691.34 = 7,981.47 : x
  2. Step 2: Convert to fraction form
    14,269.10/19,691.34 = 7,981.47/x
  3. Step 3: Cross multiply
    14,269.10x = 19,691.34 × 7,981.47
  4. Step 4: Simplify right side
    14,269.10x = 157,165,809.54
  5. Step 5: Solve for x
    x = 157,165,809.54/14,269.10
  6. Step 6: Final answer
    x = 11,014.42

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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.