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Finding the Fourth Proportional to 22,686.30, 34,011.06 and 10,197.18

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Solution

The fourth proportional to 22,686.30, 34,011.06 and 10,197.18 is: 15,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,686.30 : 34,011.06 = 10,197.18 : x
  2. Step 2: Convert to fraction form
    22,686.30/34,011.06 = 10,197.18/x
  3. Step 3: Cross multiply
    22,686.30x = 34,011.06 × 10,197.18
  4. Step 4: Simplify right side
    22,686.30x = 346,816,900.81
  5. Step 5: Solve for x
    x = 346,816,900.81/22,686.30
  6. Step 6: Final answer
    x = 15,287.50

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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.