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Finding the Fourth Proportional to 15,865.26, 23,796.06 and 4,178.17

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Solution

The fourth proportional to 15,865.26, 23,796.06 and 4,178.17 is: 6,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.26 : 23,796.06 = 4,178.17 : x
  2. Step 2: Convert to fraction form
    15,865.26/23,796.06 = 4,178.17/x
  3. Step 3: Cross multiply
    15,865.26x = 23,796.06 × 4,178.17
  4. Step 4: Simplify right side
    15,865.26x = 99,423,984.01
  5. Step 5: Solve for x
    x = 99,423,984.01/15,865.26
  6. Step 6: Final answer
    x = 6,266.77

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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.