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Finding the Fourth Proportional to 24,205.30, 36,298.62 and 9,412.24

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Solution

The fourth proportional to 24,205.30, 36,298.62 and 9,412.24 is: 14,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.30 : 36,298.62 = 9,412.24 : x
  2. Step 2: Convert to fraction form
    24,205.30/36,298.62 = 9,412.24/x
  3. Step 3: Cross multiply
    24,205.30x = 36,298.62 × 9,412.24
  4. Step 4: Simplify right side
    24,205.30x = 341,651,323.11
  5. Step 5: Solve for x
    x = 341,651,323.11/24,205.30
  6. Step 6: Final answer
    x = 14,114.73

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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.