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Finding the Fourth Proportional to 22,472.71, 31,012.31 and 12,401.15

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Solution

The fourth proportional to 22,472.71, 31,012.31 and 12,401.15 is: 17,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.71 : 31,012.31 = 12,401.15 : x
  2. Step 2: Convert to fraction form
    22,472.71/31,012.31 = 12,401.15/x
  3. Step 3: Cross multiply
    22,472.71x = 31,012.31 × 12,401.15
  4. Step 4: Simplify right side
    22,472.71x = 384,588,184.10
  5. Step 5: Solve for x
    x = 384,588,184.10/22,472.71
  6. Step 6: Final answer
    x = 17,113.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.