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Finding the Fourth Proportional to 17,778.80, 24,534.59 and 9,821.58

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Solution

The fourth proportional to 17,778.80, 24,534.59 and 9,821.58 is: 13,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.80 : 24,534.59 = 9,821.58 : x
  2. Step 2: Convert to fraction form
    17,778.80/24,534.59 = 9,821.58/x
  3. Step 3: Cross multiply
    17,778.80x = 24,534.59 × 9,821.58
  4. Step 4: Simplify right side
    17,778.80x = 240,968,438.45
  5. Step 5: Solve for x
    x = 240,968,438.45/17,778.80
  6. Step 6: Final answer
    x = 13,553.70

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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.