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Finding the Fourth Proportional to 17,535.54, 24,199.47 and 9,577.83

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Solution

The fourth proportional to 17,535.54, 24,199.47 and 9,577.83 is: 13,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.54 : 24,199.47 = 9,577.83 : x
  2. Step 2: Convert to fraction form
    17,535.54/24,199.47 = 9,577.83/x
  3. Step 3: Cross multiply
    17,535.54x = 24,199.47 × 9,577.83
  4. Step 4: Simplify right side
    17,535.54x = 231,778,409.75
  5. Step 5: Solve for x
    x = 231,778,409.75/17,535.54
  6. Step 6: Final answer
    x = 13,217.64

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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.