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Finding the Fourth Proportional to 22,773.47, 34,150.29 and 12,097.50

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Solution

The fourth proportional to 22,773.47, 34,150.29 and 12,097.50 is: 18,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.47 : 34,150.29 = 12,097.50 : x
  2. Step 2: Convert to fraction form
    22,773.47/34,150.29 = 12,097.50/x
  3. Step 3: Cross multiply
    22,773.47x = 34,150.29 × 12,097.50
  4. Step 4: Simplify right side
    22,773.47x = 413,133,219.99
  5. Step 5: Solve for x
    x = 413,133,219.99/22,773.47
  6. Step 6: Final answer
    x = 18,140.99

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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.