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Finding the Fourth Proportional to 24,118.34, 36,182.70 and 7,478.03

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Solution

The fourth proportional to 24,118.34, 36,182.70 and 7,478.03 is: 11,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,118.34 : 36,182.70 = 7,478.03 : x
  2. Step 2: Convert to fraction form
    24,118.34/36,182.70 = 7,478.03/x
  3. Step 3: Cross multiply
    24,118.34x = 36,182.70 × 7,478.03
  4. Step 4: Simplify right side
    24,118.34x = 270,575,406.54
  5. Step 5: Solve for x
    x = 270,575,406.54/24,118.34
  6. Step 6: Final answer
    x = 11,218.66

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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.