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Finding the Fourth Proportional to 15,196.92, 22,786.86 and 5,332.32

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Solution

The fourth proportional to 15,196.92, 22,786.86 and 5,332.32 is: 7,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.92 : 22,786.86 = 5,332.32 : x
  2. Step 2: Convert to fraction form
    15,196.92/22,786.86 = 5,332.32/x
  3. Step 3: Cross multiply
    15,196.92x = 22,786.86 × 5,332.32
  4. Step 4: Simplify right side
    15,196.92x = 121,506,829.32
  5. Step 5: Solve for x
    x = 121,506,829.32/15,196.92
  6. Step 6: Final answer
    x = 7,995.49

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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.