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Finding the Fourth Proportional to 22,633.96, 33,946.65 and 10,151.65

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Solution

The fourth proportional to 22,633.96, 33,946.65 and 10,151.65 is: 15,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.96 : 33,946.65 = 10,151.65 : x
  2. Step 2: Convert to fraction form
    22,633.96/33,946.65 = 10,151.65/x
  3. Step 3: Cross multiply
    22,633.96x = 33,946.65 × 10,151.65
  4. Step 4: Simplify right side
    22,633.96x = 344,614,509.47
  5. Step 5: Solve for x
    x = 344,614,509.47/22,633.96
  6. Step 6: Final answer
    x = 15,225.55

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1.5x scale

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.