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Finding the Fourth Proportional to 17,535.51, 24,200.42 and 9,982.17

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Solution

The fourth proportional to 17,535.51, 24,200.42 and 9,982.17 is: 13,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.51 : 24,200.42 = 9,982.17 : x
  2. Step 2: Convert to fraction form
    17,535.51/24,200.42 = 9,982.17/x
  3. Step 3: Cross multiply
    17,535.51x = 24,200.42 × 9,982.17
  4. Step 4: Simplify right side
    17,535.51x = 241,572,656.60
  5. Step 5: Solve for x
    x = 241,572,656.60/17,535.51
  6. Step 6: Final answer
    x = 13,776.20

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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.