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Finding the Fourth Proportional to 22,987.98, 31,722.71 and 12,916.17

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Solution

The fourth proportional to 22,987.98, 31,722.71 and 12,916.17 is: 17,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987.98 : 31,722.71 = 12,916.17 : x
  2. Step 2: Convert to fraction form
    22,987.98/31,722.71 = 12,916.17/x
  3. Step 3: Cross multiply
    22,987.98x = 31,722.71 × 12,916.17
  4. Step 4: Simplify right side
    22,987.98x = 409,735,850.64
  5. Step 5: Solve for x
    x = 409,735,850.64/22,987.98
  6. Step 6: Final answer
    x = 17,823.92

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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.