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Finding the Fourth Proportional to 14,154.85, 19,534.17 and 7,781.71

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Solution

The fourth proportional to 14,154.85, 19,534.17 and 7,781.71 is: 10,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.85 : 19,534.17 = 7,781.71 : x
  2. Step 2: Convert to fraction form
    14,154.85/19,534.17 = 7,781.71/x
  3. Step 3: Cross multiply
    14,154.85x = 19,534.17 × 7,781.71
  4. Step 4: Simplify right side
    14,154.85x = 152,009,207.12
  5. Step 5: Solve for x
    x = 152,009,207.12/14,154.85
  6. Step 6: Final answer
    x = 10,739.02

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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.