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Finding the Fourth Proportional to 12,152.16, 18,207.24 and 9,489

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Solution

The fourth proportional to 12,152.16, 18,207.24 and 9,489 is: 14,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.16 : 18,207.24 = 9,489 : x
  2. Step 2: Convert to fraction form
    12,152.16/18,207.24 = 9,489/x
  3. Step 3: Cross multiply
    12,152.16x = 18,207.24 × 9,489
  4. Step 4: Simplify right side
    12,152.16x = 172,768,500.36
  5. Step 5: Solve for x
    x = 172,768,500.36/12,152.16
  6. Step 6: Final answer
    x = 14,217.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.