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Finding the Fourth Proportional to 12,316.64, 18,462.06 and 5,737.40

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Solution

The fourth proportional to 12,316.64, 18,462.06 and 5,737.40 is: 8,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.64 : 18,462.06 = 5,737.40 : x
  2. Step 2: Convert to fraction form
    12,316.64/18,462.06 = 5,737.40/x
  3. Step 3: Cross multiply
    12,316.64x = 18,462.06 × 5,737.40
  4. Step 4: Simplify right side
    12,316.64x = 105,924,223.04
  5. Step 5: Solve for x
    x = 105,924,223.04/12,316.64
  6. Step 6: Final answer
    x = 8,600.09

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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.