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Finding the Fourth Proportional to 12,337.05, 17,025.14 and 7,032.16

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Solution

The fourth proportional to 12,337.05, 17,025.14 and 7,032.16 is: 9,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.05 : 17,025.14 = 7,032.16 : x
  2. Step 2: Convert to fraction form
    12,337.05/17,025.14 = 7,032.16/x
  3. Step 3: Cross multiply
    12,337.05x = 17,025.14 × 7,032.16
  4. Step 4: Simplify right side
    12,337.05x = 119,723,483.52
  5. Step 5: Solve for x
    x = 119,723,483.52/12,337.05
  6. Step 6: Final answer
    x = 9,704.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.