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Finding the Fourth Proportional to 22,773.50, 34,177.89 and 15,802.46

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Solution

The fourth proportional to 22,773.50, 34,177.89 and 15,802.46 is: 23,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.50 : 34,177.89 = 15,802.46 : x
  2. Step 2: Convert to fraction form
    22,773.50/34,177.89 = 15,802.46/x
  3. Step 3: Cross multiply
    22,773.50x = 34,177.89 × 15,802.46
  4. Step 4: Simplify right side
    22,773.50x = 540,094,739.61
  5. Step 5: Solve for x
    x = 540,094,739.61/22,773.50
  6. Step 6: Final answer
    x = 23,715.93

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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.