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Finding the Fourth Proportional to 12,402.68, 18,585.12 and 7,466.72

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Solution

The fourth proportional to 12,402.68, 18,585.12 and 7,466.72 is: 11,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.68 : 18,585.12 = 7,466.72 : x
  2. Step 2: Convert to fraction form
    12,402.68/18,585.12 = 7,466.72/x
  3. Step 3: Cross multiply
    12,402.68x = 18,585.12 × 7,466.72
  4. Step 4: Simplify right side
    12,402.68x = 138,769,887.21
  5. Step 5: Solve for x
    x = 138,769,887.21/12,402.68
  6. Step 6: Final answer
    x = 11,188.70

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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.