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Finding the Fourth Proportional to 24,538.48, 36,828.72 and 9,757.80

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Solution

The fourth proportional to 24,538.48, 36,828.72 and 9,757.80 is: 14,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.48 : 36,828.72 = 9,757.80 : x
  2. Step 2: Convert to fraction form
    24,538.48/36,828.72 = 9,757.80/x
  3. Step 3: Cross multiply
    24,538.48x = 36,828.72 × 9,757.80
  4. Step 4: Simplify right side
    24,538.48x = 359,367,284.02
  5. Step 5: Solve for x
    x = 359,367,284.02/24,538.48
  6. Step 6: Final answer
    x = 14,645.05

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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.