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Finding the Fourth Proportional to 15,471.17, 23,170.12 and 9,828.66

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Solution

The fourth proportional to 15,471.17, 23,170.12 and 9,828.66 is: 14,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.17 : 23,170.12 = 9,828.66 : x
  2. Step 2: Convert to fraction form
    15,471.17/23,170.12 = 9,828.66/x
  3. Step 3: Cross multiply
    15,471.17x = 23,170.12 × 9,828.66
  4. Step 4: Simplify right side
    15,471.17x = 227,731,207.07
  5. Step 5: Solve for x
    x = 227,731,207.07/15,471.17
  6. Step 6: Final answer
    x = 14,719.72

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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.