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Finding the Fourth Proportional to 22,712.47, 34,068.82 and 6,917.64

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Solution

The fourth proportional to 22,712.47, 34,068.82 and 6,917.64 is: 10,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.47 : 34,068.82 = 6,917.64 : x
  2. Step 2: Convert to fraction form
    22,712.47/34,068.82 = 6,917.64/x
  3. Step 3: Cross multiply
    22,712.47x = 34,068.82 × 6,917.64
  4. Step 4: Simplify right side
    22,712.47x = 235,675,831.98
  5. Step 5: Solve for x
    x = 235,675,831.98/22,712.47
  6. Step 6: Final answer
    x = 10,376.50

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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.