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Finding the Fourth Proportional to 10,330.50, 15,551.96 and 9,411.96

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Solution

The fourth proportional to 10,330.50, 15,551.96 and 9,411.96 is: 14,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.50 : 15,551.96 = 9,411.96 : x
  2. Step 2: Convert to fraction form
    10,330.50/15,551.96 = 9,411.96/x
  3. Step 3: Cross multiply
    10,330.50x = 15,551.96 × 9,411.96
  4. Step 4: Simplify right side
    10,330.50x = 146,374,425.44
  5. Step 5: Solve for x
    x = 146,374,425.44/10,330.50
  6. Step 6: Final answer
    x = 14,169.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.