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Finding the Fourth Proportional to 17,778.36, 24,533.30 and 9,821.16

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Solution

The fourth proportional to 17,778.36, 24,533.30 and 9,821.16 is: 13,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.36 : 24,533.30 = 9,821.16 : x
  2. Step 2: Convert to fraction form
    17,778.36/24,533.30 = 9,821.16/x
  3. Step 3: Cross multiply
    17,778.36x = 24,533.30 × 9,821.16
  4. Step 4: Simplify right side
    17,778.36x = 240,945,464.63
  5. Step 5: Solve for x
    x = 240,945,464.63/17,778.36
  6. Step 6: Final answer
    x = 13,552.74

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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.