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Finding the Fourth Proportional to 24,178.65, 36,263.80 and 6,409.43

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Solution

The fourth proportional to 24,178.65, 36,263.80 and 6,409.43 is: 9,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.65 : 36,263.80 = 6,409.43 : x
  2. Step 2: Convert to fraction form
    24,178.65/36,263.80 = 6,409.43/x
  3. Step 3: Cross multiply
    24,178.65x = 36,263.80 × 6,409.43
  4. Step 4: Simplify right side
    24,178.65x = 232,430,250.32
  5. Step 5: Solve for x
    x = 232,430,250.32/24,178.65
  6. Step 6: Final answer
    x = 9,613.04

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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.