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Finding the Fourth Proportional to 13,702.59, 20,537.46 and 8,429.18

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Solution

The fourth proportional to 13,702.59, 20,537.46 and 8,429.18 is: 12,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.59 : 20,537.46 = 8,429.18 : x
  2. Step 2: Convert to fraction form
    13,702.59/20,537.46 = 8,429.18/x
  3. Step 3: Cross multiply
    13,702.59x = 20,537.46 × 8,429.18
  4. Step 4: Simplify right side
    13,702.59x = 173,113,844.40
  5. Step 5: Solve for x
    x = 173,113,844.40/13,702.59
  6. Step 6: Final answer
    x = 12,633.66

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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.