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Finding the Fourth Proportional to 22,773.89, 31,428.14 and 12,702.98

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Solution

The fourth proportional to 22,773.89, 31,428.14 and 12,702.98 is: 17,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.89 : 31,428.14 = 12,702.98 : x
  2. Step 2: Convert to fraction form
    22,773.89/31,428.14 = 12,702.98/x
  3. Step 3: Cross multiply
    22,773.89x = 31,428.14 × 12,702.98
  4. Step 4: Simplify right side
    22,773.89x = 399,231,033.86
  5. Step 5: Solve for x
    x = 399,231,033.86/22,773.89
  6. Step 6: Final answer
    x = 17,530.21

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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.