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Finding the Fourth Proportional to 22,712.32, 34,065.60 and 7,129.60

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Solution

The fourth proportional to 22,712.32, 34,065.60 and 7,129.60 is: 10,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.32 : 34,065.60 = 7,129.60 : x
  2. Step 2: Convert to fraction form
    22,712.32/34,065.60 = 7,129.60/x
  3. Step 3: Cross multiply
    22,712.32x = 34,065.60 × 7,129.60
  4. Step 4: Simplify right side
    22,712.32x = 242,874,101.76
  5. Step 5: Solve for x
    x = 242,874,101.76/22,712.32
  6. Step 6: Final answer
    x = 10,693.50

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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.