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Finding the Fourth Proportional to 25,758.34, 38,640.12 and 7,988.38

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Solution

The fourth proportional to 25,758.34, 38,640.12 and 7,988.38 is: 11,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.34 : 38,640.12 = 7,988.38 : x
  2. Step 2: Convert to fraction form
    25,758.34/38,640.12 = 7,988.38/x
  3. Step 3: Cross multiply
    25,758.34x = 38,640.12 × 7,988.38
  4. Step 4: Simplify right side
    25,758.34x = 308,671,961.81
  5. Step 5: Solve for x
    x = 308,671,961.81/25,758.34
  6. Step 6: Final answer
    x = 11,983.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.