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Finding the Fourth Proportional to 12,962.56, 19,425.42 and 5,925.28

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Solution

The fourth proportional to 12,962.56, 19,425.42 and 5,925.28 is: 8,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.56 : 19,425.42 = 5,925.28 : x
  2. Step 2: Convert to fraction form
    12,962.56/19,425.42 = 5,925.28/x
  3. Step 3: Cross multiply
    12,962.56x = 19,425.42 × 5,925.28
  4. Step 4: Simplify right side
    12,962.56x = 115,101,052.62
  5. Step 5: Solve for x
    x = 115,101,052.62/12,962.56
  6. Step 6: Final answer
    x = 8,879.50

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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.