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Finding the Fourth Proportional to 24,209.70, 36,302.40 and 11,047.20

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Solution

The fourth proportional to 24,209.70, 36,302.40 and 11,047.20 is: 16,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.70 : 36,302.40 = 11,047.20 : x
  2. Step 2: Convert to fraction form
    24,209.70/36,302.40 = 11,047.20/x
  3. Step 3: Cross multiply
    24,209.70x = 36,302.40 × 11,047.20
  4. Step 4: Simplify right side
    24,209.70x = 401,039,873.28
  5. Step 5: Solve for x
    x = 401,039,873.28/24,209.70
  6. Step 6: Final answer
    x = 16,565.26

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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.