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Finding the Fourth Proportional to 22,472.74, 31,014.26 and 12,402.15

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Solution

The fourth proportional to 22,472.74, 31,014.26 and 12,402.15 is: 17,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.74 : 31,014.26 = 12,402.15 : x
  2. Step 2: Convert to fraction form
    22,472.74/31,014.26 = 12,402.15/x
  3. Step 3: Cross multiply
    22,472.74x = 31,014.26 × 12,402.15
  4. Step 4: Simplify right side
    22,472.74x = 384,643,504.66
  5. Step 5: Solve for x
    x = 384,643,504.66/22,472.74
  6. Step 6: Final answer
    x = 17,116.00

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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.