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Finding the Fourth Proportional to 24,762.40, 37,143.60 and 9,176.80

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Solution

The fourth proportional to 24,762.40, 37,143.60 and 9,176.80 is: 13,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.40 : 37,143.60 = 9,176.80 : x
  2. Step 2: Convert to fraction form
    24,762.40/37,143.60 = 9,176.80/x
  3. Step 3: Cross multiply
    24,762.40x = 37,143.60 × 9,176.80
  4. Step 4: Simplify right side
    24,762.40x = 340,859,388.48
  5. Step 5: Solve for x
    x = 340,859,388.48/24,762.40
  6. Step 6: Final answer
    x = 13,765.20

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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.