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Finding the Fourth Proportional to 17,767.22, 24,518.80 and 9,809.46

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Solution

The fourth proportional to 17,767.22, 24,518.80 and 9,809.46 is: 13,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.22 : 24,518.80 = 9,809.46 : x
  2. Step 2: Convert to fraction form
    17,767.22/24,518.80 = 9,809.46/x
  3. Step 3: Cross multiply
    17,767.22x = 24,518.80 × 9,809.46
  4. Step 4: Simplify right side
    17,767.22x = 240,516,187.85
  5. Step 5: Solve for x
    x = 240,516,187.85/17,767.22
  6. Step 6: Final answer
    x = 13,537.07

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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.