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Finding the Fourth Proportional to 17,852.25, 24,635.48 and 9,895.22

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Solution

The fourth proportional to 17,852.25, 24,635.48 and 9,895.22 is: 13,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.25 : 24,635.48 = 9,895.22 : x
  2. Step 2: Convert to fraction form
    17,852.25/24,635.48 = 9,895.22/x
  3. Step 3: Cross multiply
    17,852.25x = 24,635.48 × 9,895.22
  4. Step 4: Simplify right side
    17,852.25x = 243,773,321.75
  5. Step 5: Solve for x
    x = 243,773,321.75/17,852.25
  6. Step 6: Final answer
    x = 13,655.05

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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.