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Finding the Fourth Proportional to 12,342.90, 18,471.29 and 10,095.76

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Solution

The fourth proportional to 12,342.90, 18,471.29 and 10,095.76 is: 15,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.90 : 18,471.29 = 10,095.76 : x
  2. Step 2: Convert to fraction form
    12,342.90/18,471.29 = 10,095.76/x
  3. Step 3: Cross multiply
    12,342.90x = 18,471.29 × 10,095.76
  4. Step 4: Simplify right side
    12,342.90x = 186,481,664.55
  5. Step 5: Solve for x
    x = 186,481,664.55/12,342.90
  6. Step 6: Final answer
    x = 15,108.42

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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.