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Finding the Fourth Proportional to 20,468.34, 30,702.54 and 13,878.18

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Solution

The fourth proportional to 20,468.34, 30,702.54 and 13,878.18 is: 20,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468.34 : 30,702.54 = 13,878.18 : x
  2. Step 2: Convert to fraction form
    20,468.34/30,702.54 = 13,878.18/x
  3. Step 3: Cross multiply
    20,468.34x = 30,702.54 × 13,878.18
  4. Step 4: Simplify right side
    20,468.34x = 426,095,376.58
  5. Step 5: Solve for x
    x = 426,095,376.58/20,468.34
  6. Step 6: Final answer
    x = 20,817.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.