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Finding the Fourth Proportional to 22,702.67, 31,311.93 and 14,747.46

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Solution

The fourth proportional to 22,702.67, 31,311.93 and 14,747.46 is: 20,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.67 : 31,311.93 = 14,747.46 : x
  2. Step 2: Convert to fraction form
    22,702.67/31,311.93 = 14,747.46/x
  3. Step 3: Cross multiply
    22,702.67x = 31,311.93 × 14,747.46
  4. Step 4: Simplify right side
    22,702.67x = 461,771,278.64
  5. Step 5: Solve for x
    x = 461,771,278.64/22,702.67
  6. Step 6: Final answer
    x = 20,339.95

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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.