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Finding the Fourth Proportional to 22,773, 34,177.14 and 15,801.96

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Solution

The fourth proportional to 22,773, 34,177.14 and 15,801.96 is: 23,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773 : 34,177.14 = 15,801.96 : x
  2. Step 2: Convert to fraction form
    22,773/34,177.14 = 15,801.96/x
  3. Step 3: Cross multiply
    22,773x = 34,177.14 × 15,801.96
  4. Step 4: Simplify right side
    22,773x = 540,065,799.19
  5. Step 5: Solve for x
    x = 540,065,799.19/22,773
  6. Step 6: Final answer
    x = 23,715.18

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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.