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Finding the Fourth Proportional to 16,281.64, 24,432.14 and 7,275.05

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Solution

The fourth proportional to 16,281.64, 24,432.14 and 7,275.05 is: 10,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.64 : 24,432.14 = 7,275.05 : x
  2. Step 2: Convert to fraction form
    16,281.64/24,432.14 = 7,275.05/x
  3. Step 3: Cross multiply
    16,281.64x = 24,432.14 × 7,275.05
  4. Step 4: Simplify right side
    16,281.64x = 177,745,040.11
  5. Step 5: Solve for x
    x = 177,745,040.11/16,281.64
  6. Step 6: Final answer
    x = 10,916.90

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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.