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Finding the Fourth Proportional to 15,838.66, 23,758.00 and 4,151.88

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Solution

The fourth proportional to 15,838.66, 23,758.00 and 4,151.88 is: 6,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.66 : 23,758.00 = 4,151.88 : x
  2. Step 2: Convert to fraction form
    15,838.66/23,758.00 = 4,151.88/x
  3. Step 3: Cross multiply
    15,838.66x = 23,758.00 × 4,151.88
  4. Step 4: Simplify right side
    15,838.66x = 98,640,415.64
  5. Step 5: Solve for x
    x = 98,640,415.64/15,838.66
  6. Step 6: Final answer
    x = 6,227.82

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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.