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Finding the Fourth Proportional to 22,515.18, 31,071 and 12,443.40

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Solution

The fourth proportional to 22,515.18, 31,071 and 12,443.40 is: 17,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.18 : 31,071 = 12,443.40 : x
  2. Step 2: Convert to fraction form
    22,515.18/31,071 = 12,443.40/x
  3. Step 3: Cross multiply
    22,515.18x = 31,071 × 12,443.40
  4. Step 4: Simplify right side
    22,515.18x = 386,628,881.40
  5. Step 5: Solve for x
    x = 386,628,881.40/22,515.18
  6. Step 6: Final answer
    x = 17,171.92

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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.