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Finding the Fourth Proportional to 15,753.66, 23,634.28 and 4,509.17

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Solution

The fourth proportional to 15,753.66, 23,634.28 and 4,509.17 is: 6,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.66 : 23,634.28 = 4,509.17 : x
  2. Step 2: Convert to fraction form
    15,753.66/23,634.28 = 4,509.17/x
  3. Step 3: Cross multiply
    15,753.66x = 23,634.28 × 4,509.17
  4. Step 4: Simplify right side
    15,753.66x = 106,570,962.44
  5. Step 5: Solve for x
    x = 106,570,962.44/15,753.66
  6. Step 6: Final answer
    x = 6,764.84

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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.