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Finding the Fourth Proportional to 12,374.71, 18,527.15 and 9,633.47

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Solution

The fourth proportional to 12,374.71, 18,527.15 and 9,633.47 is: 14,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.71 : 18,527.15 = 9,633.47 : x
  2. Step 2: Convert to fraction form
    12,374.71/18,527.15 = 9,633.47/x
  3. Step 3: Cross multiply
    12,374.71x = 18,527.15 × 9,633.47
  4. Step 4: Simplify right side
    12,374.71x = 178,480,675.16
  5. Step 5: Solve for x
    x = 178,480,675.16/12,374.71
  6. Step 6: Final answer
    x = 14,423.02

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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.