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Finding the Fourth Proportional to 12,572.75, 18,841.59 and 9,449.10

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Solution

The fourth proportional to 12,572.75, 18,841.59 and 9,449.10 is: 14,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.75 : 18,841.59 = 9,449.10 : x
  2. Step 2: Convert to fraction form
    12,572.75/18,841.59 = 9,449.10/x
  3. Step 3: Cross multiply
    12,572.75x = 18,841.59 × 9,449.10
  4. Step 4: Simplify right side
    12,572.75x = 178,036,068.07
  5. Step 5: Solve for x
    x = 178,036,068.07/12,572.75
  6. Step 6: Final answer
    x = 14,160.47

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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.