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Finding the Fourth Proportional to 22,702.50, 31,329.45 and 12,766.50

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Solution

The fourth proportional to 22,702.50, 31,329.45 and 12,766.50 is: 17,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.50 : 31,329.45 = 12,766.50 : x
  2. Step 2: Convert to fraction form
    22,702.50/31,329.45 = 12,766.50/x
  3. Step 3: Cross multiply
    22,702.50x = 31,329.45 × 12,766.50
  4. Step 4: Simplify right side
    22,702.50x = 399,967,423.43
  5. Step 5: Solve for x
    x = 399,967,423.43/22,702.50
  6. Step 6: Final answer
    x = 17,617.77

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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.