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Finding the Fourth Proportional to 17,767.95, 24,520.08 and 9,809.70

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Solution

The fourth proportional to 17,767.95, 24,520.08 and 9,809.70 is: 13,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.95 : 24,520.08 = 9,809.70 : x
  2. Step 2: Convert to fraction form
    17,767.95/24,520.08 = 9,809.70/x
  3. Step 3: Cross multiply
    17,767.95x = 24,520.08 × 9,809.70
  4. Step 4: Simplify right side
    17,767.95x = 240,534,628.78
  5. Step 5: Solve for x
    x = 240,534,628.78/17,767.95
  6. Step 6: Final answer
    x = 13,537.56

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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.