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Finding the Fourth Proportional to 10,366.95, 15,536.53 and 9,702.65

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Solution

The fourth proportional to 10,366.95, 15,536.53 and 9,702.65 is: 14,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.95 : 15,536.53 = 9,702.65 : x
  2. Step 2: Convert to fraction form
    10,366.95/15,536.53 = 9,702.65/x
  3. Step 3: Cross multiply
    10,366.95x = 15,536.53 × 9,702.65
  4. Step 4: Simplify right side
    10,366.95x = 150,745,421.80
  5. Step 5: Solve for x
    x = 150,745,421.80/10,366.95
  6. Step 6: Final answer
    x = 14,540.96

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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.