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Finding the Fourth Proportional to 10,199.52, 15,312.24 and 8,670.24

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Solution

The fourth proportional to 10,199.52, 15,312.24 and 8,670.24 is: 13,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.52 : 15,312.24 = 8,670.24 : x
  2. Step 2: Convert to fraction form
    10,199.52/15,312.24 = 8,670.24/x
  3. Step 3: Cross multiply
    10,199.52x = 15,312.24 × 8,670.24
  4. Step 4: Simplify right side
    10,199.52x = 132,760,795.74
  5. Step 5: Solve for x
    x = 132,760,795.74/10,199.52
  6. Step 6: Final answer
    x = 13,016.38

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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.