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Finding the Fourth Proportional to 24,295, 36,442.50 and 7,879

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Solution

The fourth proportional to 24,295, 36,442.50 and 7,879 is: 11,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295 : 36,442.50 = 7,879 : x
  2. Step 2: Convert to fraction form
    24,295/36,442.50 = 7,879/x
  3. Step 3: Cross multiply
    24,295x = 36,442.50 × 7,879
  4. Step 4: Simplify right side
    24,295x = 287,130,457.50
  5. Step 5: Solve for x
    x = 287,130,457.50/24,295
  6. Step 6: Final answer
    x = 11,818.50

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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.