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Finding the Fourth Proportional to 24,564.80, 36,829.20 and 9,766.40

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Solution

The fourth proportional to 24,564.80, 36,829.20 and 9,766.40 is: 14,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.80 : 36,829.20 = 9,766.40 : x
  2. Step 2: Convert to fraction form
    24,564.80/36,829.20 = 9,766.40/x
  3. Step 3: Cross multiply
    24,564.80x = 36,829.20 × 9,766.40
  4. Step 4: Simplify right side
    24,564.80x = 359,688,698.88
  5. Step 5: Solve for x
    x = 359,688,698.88/24,564.80
  6. Step 6: Final answer
    x = 14,642.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.