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Finding the Fourth Proportional to 10,367.96, 15,557.54 and 9,624.20

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Solution

The fourth proportional to 10,367.96, 15,557.54 and 9,624.20 is: 14,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.96 : 15,557.54 = 9,624.20 : x
  2. Step 2: Convert to fraction form
    10,367.96/15,557.54 = 9,624.20/x
  3. Step 3: Cross multiply
    10,367.96x = 15,557.54 × 9,624.20
  4. Step 4: Simplify right side
    10,367.96x = 149,728,876.47
  5. Step 5: Solve for x
    x = 149,728,876.47/10,367.96
  6. Step 6: Final answer
    x = 14,441.50

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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.