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Finding the Fourth Proportional to 22,668.16, 34,011.24 and 10,184.80

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Solution

The fourth proportional to 22,668.16, 34,011.24 and 10,184.80 is: 15,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.16 : 34,011.24 = 10,184.80 : x
  2. Step 2: Convert to fraction form
    22,668.16/34,011.24 = 10,184.80/x
  3. Step 3: Cross multiply
    22,668.16x = 34,011.24 × 10,184.80
  4. Step 4: Simplify right side
    22,668.16x = 346,397,677.15
  5. Step 5: Solve for x
    x = 346,397,677.15/22,668.16
  6. Step 6: Final answer
    x = 15,281.24

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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.