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Finding the Fourth Proportional to 14,966.42, 22,449.56 and 7,066.31

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Solution

The fourth proportional to 14,966.42, 22,449.56 and 7,066.31 is: 10,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.42 : 22,449.56 = 7,066.31 : x
  2. Step 2: Convert to fraction form
    14,966.42/22,449.56 = 7,066.31/x
  3. Step 3: Cross multiply
    14,966.42x = 22,449.56 × 7,066.31
  4. Step 4: Simplify right side
    14,966.42x = 158,635,402.74
  5. Step 5: Solve for x
    x = 158,635,402.74/14,966.42
  6. Step 6: Final answer
    x = 10,599.43

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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.