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Finding the Fourth Proportional to 24,185.70, 36,266.40 and 11,023.20

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Solution

The fourth proportional to 24,185.70, 36,266.40 and 11,023.20 is: 16,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,185.70 : 36,266.40 = 11,023.20 : x
  2. Step 2: Convert to fraction form
    24,185.70/36,266.40 = 11,023.20/x
  3. Step 3: Cross multiply
    24,185.70x = 36,266.40 × 11,023.20
  4. Step 4: Simplify right side
    24,185.70x = 399,771,780.48
  5. Step 5: Solve for x
    x = 399,771,780.48/24,185.70
  6. Step 6: Final answer
    x = 16,529.26

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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.