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Finding the Fourth Proportional to 15,492.44, 23,238.66 and 5,105

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Solution

The fourth proportional to 15,492.44, 23,238.66 and 5,105 is: 7,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,492.44 : 23,238.66 = 5,105 : x
  2. Step 2: Convert to fraction form
    15,492.44/23,238.66 = 5,105/x
  3. Step 3: Cross multiply
    15,492.44x = 23,238.66 × 5,105
  4. Step 4: Simplify right side
    15,492.44x = 118,633,359.30
  5. Step 5: Solve for x
    x = 118,633,359.30/15,492.44
  6. Step 6: Final answer
    x = 7,657.50

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Why These Related Problems?

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