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Finding the Fourth Proportional to 26,962.61, 40,462.13 and 9,432.59

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Solution

The fourth proportional to 26,962.61, 40,462.13 and 9,432.59 is: 14,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,962.61 : 40,462.13 = 9,432.59 : x
  2. Step 2: Convert to fraction form
    26,962.61/40,462.13 = 9,432.59/x
  3. Step 3: Cross multiply
    26,962.61x = 40,462.13 × 9,432.59
  4. Step 4: Simplify right side
    26,962.61x = 381,662,504.09
  5. Step 5: Solve for x
    x = 381,662,504.09/26,962.61
  6. Step 6: Final answer
    x = 14,155.25

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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.