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Finding the Fourth Proportional to 25,552.76, 38,335.29 and 8,022.57

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Solution

The fourth proportional to 25,552.76, 38,335.29 and 8,022.57 is: 12,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,552.76 : 38,335.29 = 8,022.57 : x
  2. Step 2: Convert to fraction form
    25,552.76/38,335.29 = 8,022.57/x
  3. Step 3: Cross multiply
    25,552.76x = 38,335.29 × 8,022.57
  4. Step 4: Simplify right side
    25,552.76x = 307,547,547.50
  5. Step 5: Solve for x
    x = 307,547,547.50/25,552.76
  6. Step 6: Final answer
    x = 12,035.79

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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.