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Finding the Fourth Proportional to 24,556.80, 36,817.20 and 9,758.40

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Solution

The fourth proportional to 24,556.80, 36,817.20 and 9,758.40 is: 14,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,556.80 : 36,817.20 = 9,758.40 : x
  2. Step 2: Convert to fraction form
    24,556.80/36,817.20 = 9,758.40/x
  3. Step 3: Cross multiply
    24,556.80x = 36,817.20 × 9,758.40
  4. Step 4: Simplify right side
    24,556.80x = 359,276,964.48
  5. Step 5: Solve for x
    x = 359,276,964.48/24,556.80
  6. Step 6: Final answer
    x = 14,630.45

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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.