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Finding the Fourth Proportional to 15,613.86, 23,426.94 and 6,842.58

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Solution

The fourth proportional to 15,613.86, 23,426.94 and 6,842.58 is: 10,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.86 : 23,426.94 = 6,842.58 : x
  2. Step 2: Convert to fraction form
    15,613.86/23,426.94 = 6,842.58/x
  3. Step 3: Cross multiply
    15,613.86x = 23,426.94 × 6,842.58
  4. Step 4: Simplify right side
    15,613.86x = 160,300,711.11
  5. Step 5: Solve for x
    x = 160,300,711.11/15,613.86
  6. Step 6: Final answer
    x = 10,266.57

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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.