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Finding the Fourth Proportional to 16,590.48, 24,879.24 and 7,350

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Solution

The fourth proportional to 16,590.48, 24,879.24 and 7,350 is: 11,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.48 : 24,879.24 = 7,350 : x
  2. Step 2: Convert to fraction form
    16,590.48/24,879.24 = 7,350/x
  3. Step 3: Cross multiply
    16,590.48x = 24,879.24 × 7,350
  4. Step 4: Simplify right side
    16,590.48x = 182,862,414
  5. Step 5: Solve for x
    x = 182,862,414/16,590.48
  6. Step 6: Final answer
    x = 11,022.13

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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.