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Finding the Fourth Proportional to 16,141, 24,211.50 and 5,197

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Solution

The fourth proportional to 16,141, 24,211.50 and 5,197 is: 7,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141 : 24,211.50 = 5,197 : x
  2. Step 2: Convert to fraction form
    16,141/24,211.50 = 5,197/x
  3. Step 3: Cross multiply
    16,141x = 24,211.50 × 5,197
  4. Step 4: Simplify right side
    16,141x = 125,827,165.50
  5. Step 5: Solve for x
    x = 125,827,165.50/16,141
  6. Step 6: Final answer
    x = 7,795.50

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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.