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Finding the Fourth Proportional to 16,228.65, 22,396.58 and 9,154.92

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Solution

The fourth proportional to 16,228.65, 22,396.58 and 9,154.92 is: 12,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.65 : 22,396.58 = 9,154.92 : x
  2. Step 2: Convert to fraction form
    16,228.65/22,396.58 = 9,154.92/x
  3. Step 3: Cross multiply
    16,228.65x = 22,396.58 × 9,154.92
  4. Step 4: Simplify right side
    16,228.65x = 205,038,898.17
  5. Step 5: Solve for x
    x = 205,038,898.17/16,228.65
  6. Step 6: Final answer
    x = 12,634.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.