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Finding the Fourth Proportional to 15,123.32, 22,583.05 and 12,355.46

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Solution

The fourth proportional to 15,123.32, 22,583.05 and 12,355.46 is: 18,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.32 : 22,583.05 = 12,355.46 : x
  2. Step 2: Convert to fraction form
    15,123.32/22,583.05 = 12,355.46/x
  3. Step 3: Cross multiply
    15,123.32x = 22,583.05 × 12,355.46
  4. Step 4: Simplify right side
    15,123.32x = 279,023,970.95
  5. Step 5: Solve for x
    x = 279,023,970.95/15,123.32
  6. Step 6: Final answer
    x = 18,449.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.