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Finding the Fourth Proportional to 25,643.34, 38,440.40 and 8,101.17

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Solution

The fourth proportional to 25,643.34, 38,440.40 and 8,101.17 is: 12,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.34 : 38,440.40 = 8,101.17 : x
  2. Step 2: Convert to fraction form
    25,643.34/38,440.40 = 8,101.17/x
  3. Step 3: Cross multiply
    25,643.34x = 38,440.40 × 8,101.17
  4. Step 4: Simplify right side
    25,643.34x = 311,412,174.76
  5. Step 5: Solve for x
    x = 311,412,174.76/25,643.34
  6. Step 6: Final answer
    x = 12,143.98

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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.