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Finding the Fourth Proportional to 23,613.66, 35,425.69 and 7,823.59

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Solution

The fourth proportional to 23,613.66, 35,425.69 and 7,823.59 is: 11,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.66 : 35,425.69 = 7,823.59 : x
  2. Step 2: Convert to fraction form
    23,613.66/35,425.69 = 7,823.59/x
  3. Step 3: Cross multiply
    23,613.66x = 35,425.69 × 7,823.59
  4. Step 4: Simplify right side
    23,613.66x = 277,155,965.90
  5. Step 5: Solve for x
    x = 277,155,965.90/23,613.66
  6. Step 6: Final answer
    x = 11,737.10

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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.