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Finding the Fourth Proportional to 22,496.30, 31,045.19 and 12,424.71

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Solution

The fourth proportional to 22,496.30, 31,045.19 and 12,424.71 is: 17,146.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.30 : 31,045.19 = 12,424.71 : x
  2. Step 2: Convert to fraction form
    22,496.30/31,045.19 = 12,424.71/x
  3. Step 3: Cross multiply
    22,496.30x = 31,045.19 × 12,424.71
  4. Step 4: Simplify right side
    22,496.30x = 385,727,420.52
  5. Step 5: Solve for x
    x = 385,727,420.52/22,496.30
  6. Step 6: Final answer
    x = 17,146.26

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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.