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Finding the Fourth Proportional to 16,565.96, 24,849.12 and 4,879.40

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Solution

The fourth proportional to 16,565.96, 24,849.12 and 4,879.40 is: 7,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.96 : 24,849.12 = 4,879.40 : x
  2. Step 2: Convert to fraction form
    16,565.96/24,849.12 = 4,879.40/x
  3. Step 3: Cross multiply
    16,565.96x = 24,849.12 × 4,879.40
  4. Step 4: Simplify right side
    16,565.96x = 121,248,796.13
  5. Step 5: Solve for x
    x = 121,248,796.13/16,565.96
  6. Step 6: Final answer
    x = 7,319.15

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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.