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Finding the Fourth Proportional to 17,934.48, 24,749.55 and 9,976.77

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Solution

The fourth proportional to 17,934.48, 24,749.55 and 9,976.77 is: 13,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934.48 : 24,749.55 = 9,976.77 : x
  2. Step 2: Convert to fraction form
    17,934.48/24,749.55 = 9,976.77/x
  3. Step 3: Cross multiply
    17,934.48x = 24,749.55 × 9,976.77
  4. Step 4: Simplify right side
    17,934.48x = 246,920,567.95
  5. Step 5: Solve for x
    x = 246,920,567.95/17,934.48
  6. Step 6: Final answer
    x = 13,767.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.