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Finding the Fourth Proportional to 15,580.46, 21,500.22 and 8,506.76

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Solution

The fourth proportional to 15,580.46, 21,500.22 and 8,506.76 is: 11,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.46 : 21,500.22 = 8,506.76 : x
  2. Step 2: Convert to fraction form
    15,580.46/21,500.22 = 8,506.76/x
  3. Step 3: Cross multiply
    15,580.46x = 21,500.22 × 8,506.76
  4. Step 4: Simplify right side
    15,580.46x = 182,897,211.49
  5. Step 5: Solve for x
    x = 182,897,211.49/15,580.46
  6. Step 6: Final answer
    x = 11,738.88

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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.