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Finding the Fourth Proportional to 15,123.84, 20,871.80 and 8,409.52

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Solution

The fourth proportional to 15,123.84, 20,871.80 and 8,409.52 is: 11,605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.84 : 20,871.80 = 8,409.52 : x
  2. Step 2: Convert to fraction form
    15,123.84/20,871.80 = 8,409.52/x
  3. Step 3: Cross multiply
    15,123.84x = 20,871.80 × 8,409.52
  4. Step 4: Simplify right side
    15,123.84x = 175,521,819.54
  5. Step 5: Solve for x
    x = 175,521,819.54/15,123.84
  6. Step 6: Final answer
    x = 11,605.64

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