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Finding the Fourth Proportional to 15,123.52, 20,870.81 and 8,409.43

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Solution

The fourth proportional to 15,123.52, 20,870.81 and 8,409.43 is: 11,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,123.52 : 20,870.81 = 8,409.43 : x
  2. Step 2: Convert to fraction form
    15,123.52/20,870.81 = 8,409.43/x
  3. Step 3: Cross multiply
    15,123.52x = 20,870.81 × 8,409.43
  4. Step 4: Simplify right side
    15,123.52x = 175,511,532.41
  5. Step 5: Solve for x
    x = 175,511,532.41/15,123.52
  6. Step 6: Final answer
    x = 11,605.21

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1.5x scale

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.