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Finding the Fourth Proportional to 10,113.63, 15,171.66 and 9,560.67

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Solution

The fourth proportional to 10,113.63, 15,171.66 and 9,560.67 is: 14,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.63 : 15,171.66 = 9,560.67 : x
  2. Step 2: Convert to fraction form
    10,113.63/15,171.66 = 9,560.67/x
  3. Step 3: Cross multiply
    10,113.63x = 15,171.66 × 9,560.67
  4. Step 4: Simplify right side
    10,113.63x = 145,051,234.61
  5. Step 5: Solve for x
    x = 145,051,234.61/10,113.63
  6. Step 6: Final answer
    x = 14,342.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.