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Finding the Fourth Proportional to 12,289.61, 18,402.29 and 6,731.39

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Solution

The fourth proportional to 12,289.61, 18,402.29 and 6,731.39 is: 10,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.61 : 18,402.29 = 6,731.39 : x
  2. Step 2: Convert to fraction form
    12,289.61/18,402.29 = 6,731.39/x
  3. Step 3: Cross multiply
    12,289.61x = 18,402.29 × 6,731.39
  4. Step 4: Simplify right side
    12,289.61x = 123,872,957.23
  5. Step 5: Solve for x
    x = 123,872,957.23/12,289.61
  6. Step 6: Final answer
    x = 10,079.49

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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.