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Finding the Fourth Proportional to 16,102.92, 24,152.76 and 5,010

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Solution

The fourth proportional to 16,102.92, 24,152.76 and 5,010 is: 7,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.92 : 24,152.76 = 5,010 : x
  2. Step 2: Convert to fraction form
    16,102.92/24,152.76 = 5,010/x
  3. Step 3: Cross multiply
    16,102.92x = 24,152.76 × 5,010
  4. Step 4: Simplify right side
    16,102.92x = 121,005,327.60
  5. Step 5: Solve for x
    x = 121,005,327.60/16,102.92
  6. Step 6: Final answer
    x = 7,514.50

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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.