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Finding the Fourth Proportional to 22,901.50, 31,604.07 and 12,965.50

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Solution

The fourth proportional to 22,901.50, 31,604.07 and 12,965.50 is: 17,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.50 : 31,604.07 = 12,965.50 : x
  2. Step 2: Convert to fraction form
    22,901.50/31,604.07 = 12,965.50/x
  3. Step 3: Cross multiply
    22,901.50x = 31,604.07 × 12,965.50
  4. Step 4: Simplify right side
    22,901.50x = 409,762,569.59
  5. Step 5: Solve for x
    x = 409,762,569.59/22,901.50
  6. Step 6: Final answer
    x = 17,892.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.