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Finding the Fourth Proportional to 13,702.85, 20,554.86 and 4,342.67

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Solution

The fourth proportional to 13,702.85, 20,554.86 and 4,342.67 is: 6,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.85 : 20,554.86 = 4,342.67 : x
  2. Step 2: Convert to fraction form
    13,702.85/20,554.86 = 4,342.67/x
  3. Step 3: Cross multiply
    13,702.85x = 20,554.86 × 4,342.67
  4. Step 4: Simplify right side
    13,702.85x = 89,262,854.82
  5. Step 5: Solve for x
    x = 89,262,854.82/13,702.85
  6. Step 6: Final answer
    x = 6,514.18

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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.