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Finding the Fourth Proportional to 22,496.25, 31,045.06 and 12,424.94

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Solution

The fourth proportional to 22,496.25, 31,045.06 and 12,424.94 is: 17,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.25 : 31,045.06 = 12,424.94 : x
  2. Step 2: Convert to fraction form
    22,496.25/31,045.06 = 12,424.94/x
  3. Step 3: Cross multiply
    22,496.25x = 31,045.06 × 12,424.94
  4. Step 4: Simplify right side
    22,496.25x = 385,732,945.67
  5. Step 5: Solve for x
    x = 385,732,945.67/22,496.25
  6. Step 6: Final answer
    x = 17,146.55

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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.