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Finding the Fourth Proportional to 22,275.96, 33,417.80 and 7,486.32

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Solution

The fourth proportional to 22,275.96, 33,417.80 and 7,486.32 is: 11,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.96 : 33,417.80 = 7,486.32 : x
  2. Step 2: Convert to fraction form
    22,275.96/33,417.80 = 7,486.32/x
  3. Step 3: Cross multiply
    22,275.96x = 33,417.80 × 7,486.32
  4. Step 4: Simplify right side
    22,275.96x = 250,176,344.50
  5. Step 5: Solve for x
    x = 250,176,344.50/22,275.96
  6. Step 6: Final answer
    x = 11,230.78

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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.