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Finding the Fourth Proportional to 28,377.60, 42,554.04 and 9,652.56

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Solution

The fourth proportional to 28,377.60, 42,554.04 and 9,652.56 is: 14,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,377.60 : 42,554.04 = 9,652.56 : x
  2. Step 2: Convert to fraction form
    28,377.60/42,554.04 = 9,652.56/x
  3. Step 3: Cross multiply
    28,377.60x = 42,554.04 × 9,652.56
  4. Step 4: Simplify right side
    28,377.60x = 410,755,424.34
  5. Step 5: Solve for x
    x = 410,755,424.34/28,377.60
  6. Step 6: Final answer
    x = 14,474.64

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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.