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Finding the Fourth Proportional to 12,312.40, 18,471.60 and 5,737.20

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Solution

The fourth proportional to 12,312.40, 18,471.60 and 5,737.20 is: 8,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.40 : 18,471.60 = 5,737.20 : x
  2. Step 2: Convert to fraction form
    12,312.40/18,471.60 = 5,737.20/x
  3. Step 3: Cross multiply
    12,312.40x = 18,471.60 × 5,737.20
  4. Step 4: Simplify right side
    12,312.40x = 105,975,263.52
  5. Step 5: Solve for x
    x = 105,975,263.52/12,312.40
  6. Step 6: Final answer
    x = 8,607.20

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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.