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Finding the Fourth Proportional to 24,564.24, 36,819 and 9,769.20

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Solution

The fourth proportional to 24,564.24, 36,819 and 9,769.20 is: 14,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.24 : 36,819 = 9,769.20 : x
  2. Step 2: Convert to fraction form
    24,564.24/36,819 = 9,769.20/x
  3. Step 3: Cross multiply
    24,564.24x = 36,819 × 9,769.20
  4. Step 4: Simplify right side
    24,564.24x = 359,692,174.80
  5. Step 5: Solve for x
    x = 359,692,174.80/24,564.24
  6. Step 6: Final answer
    x = 14,642.92

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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.