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Finding the Fourth Proportional to 25,965.74, 38,920.53 and 10,366.22

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Solution

The fourth proportional to 25,965.74, 38,920.53 and 10,366.22 is: 15,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,965.74 : 38,920.53 = 10,366.22 : x
  2. Step 2: Convert to fraction form
    25,965.74/38,920.53 = 10,366.22/x
  3. Step 3: Cross multiply
    25,965.74x = 38,920.53 × 10,366.22
  4. Step 4: Simplify right side
    25,965.74x = 403,458,776.50
  5. Step 5: Solve for x
    x = 403,458,776.50/25,965.74
  6. Step 6: Final answer
    x = 15,538.12

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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.