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Finding the Fourth Proportional to 24,879.97, 37,320 and 7,362.10

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Solution

The fourth proportional to 24,879.97, 37,320 and 7,362.10 is: 11,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,879.97 : 37,320 = 7,362.10 : x
  2. Step 2: Convert to fraction form
    24,879.97/37,320 = 7,362.10/x
  3. Step 3: Cross multiply
    24,879.97x = 37,320 × 7,362.10
  4. Step 4: Simplify right side
    24,879.97x = 274,753,572
  5. Step 5: Solve for x
    x = 274,753,572/24,879.97
  6. Step 6: Final answer
    x = 11,043.16

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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.