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Finding the Fourth Proportional to 17,778.17, 24,533.40 and 9,820.22

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Solution

The fourth proportional to 17,778.17, 24,533.40 and 9,820.22 is: 13,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.17 : 24,533.40 = 9,820.22 : x
  2. Step 2: Convert to fraction form
    17,778.17/24,533.40 = 9,820.22/x
  3. Step 3: Cross multiply
    17,778.17x = 24,533.40 × 9,820.22
  4. Step 4: Simplify right side
    17,778.17x = 240,923,385.35
  5. Step 5: Solve for x
    x = 240,923,385.35/17,778.17
  6. Step 6: Final answer
    x = 13,551.64

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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.