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Finding the Fourth Proportional to 25,988.82, 38,986.82 and 9,345.75

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Solution

The fourth proportional to 25,988.82, 38,986.82 and 9,345.75 is: 14,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.82 : 38,986.82 = 9,345.75 : x
  2. Step 2: Convert to fraction form
    25,988.82/38,986.82 = 9,345.75/x
  3. Step 3: Cross multiply
    25,988.82x = 38,986.82 × 9,345.75
  4. Step 4: Simplify right side
    25,988.82x = 364,361,026.29
  5. Step 5: Solve for x
    x = 364,361,026.29/25,988.82
  6. Step 6: Final answer
    x = 14,019.91

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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.