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Finding the Fourth Proportional to 23,613.68, 35,429.52 and 8,829.20

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Solution

The fourth proportional to 23,613.68, 35,429.52 and 8,829.20 is: 13,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.68 : 35,429.52 = 8,829.20 : x
  2. Step 2: Convert to fraction form
    23,613.68/35,429.52 = 8,829.20/x
  3. Step 3: Cross multiply
    23,613.68x = 35,429.52 × 8,829.20
  4. Step 4: Simplify right side
    23,613.68x = 312,814,317.98
  5. Step 5: Solve for x
    x = 312,814,317.98/23,613.68
  6. Step 6: Final answer
    x = 13,247.17

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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.