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Finding the Fourth Proportional to 22,839.59, 31,515.59 and 12,766.77

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Solution

The fourth proportional to 22,839.59, 31,515.59 and 12,766.77 is: 17,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839.59 : 31,515.59 = 12,766.77 : x
  2. Step 2: Convert to fraction form
    22,839.59/31,515.59 = 12,766.77/x
  3. Step 3: Cross multiply
    22,839.59x = 31,515.59 × 12,766.77
  4. Step 4: Simplify right side
    22,839.59x = 402,352,225.11
  5. Step 5: Solve for x
    x = 402,352,225.11/22,839.59
  6. Step 6: Final answer
    x = 17,616.44

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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.