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Finding the Fourth Proportional to 22,857.98, 34,258.70 and 13,488.50

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Solution

The fourth proportional to 22,857.98, 34,258.70 and 13,488.50 is: 20,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,857.98 : 34,258.70 = 13,488.50 : x
  2. Step 2: Convert to fraction form
    22,857.98/34,258.70 = 13,488.50/x
  3. Step 3: Cross multiply
    22,857.98x = 34,258.70 × 13,488.50
  4. Step 4: Simplify right side
    22,857.98x = 462,098,474.95
  5. Step 5: Solve for x
    x = 462,098,474.95/22,857.98
  6. Step 6: Final answer
    x = 20,216.07

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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.