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Finding the Fourth Proportional to 15,605.79, 23,397.74 and 5,743.79

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Solution

The fourth proportional to 15,605.79, 23,397.74 and 5,743.79 is: 8,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.79 : 23,397.74 = 5,743.79 : x
  2. Step 2: Convert to fraction form
    15,605.79/23,397.74 = 5,743.79/x
  3. Step 3: Cross multiply
    15,605.79x = 23,397.74 × 5,743.79
  4. Step 4: Simplify right side
    15,605.79x = 134,391,668.61
  5. Step 5: Solve for x
    x = 134,391,668.61/15,605.79
  6. Step 6: Final answer
    x = 8,611.66

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Why These Related Problems?

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