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Finding the Fourth Proportional to 17,530.83, 24,191.60 and 9,571.50

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Solution

The fourth proportional to 17,530.83, 24,191.60 and 9,571.50 is: 13,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.83 : 24,191.60 = 9,571.50 : x
  2. Step 2: Convert to fraction form
    17,530.83/24,191.60 = 9,571.50/x
  3. Step 3: Cross multiply
    17,530.83x = 24,191.60 × 9,571.50
  4. Step 4: Simplify right side
    17,530.83x = 231,549,851.54
  5. Step 5: Solve for x
    x = 231,549,851.54/17,530.83
  6. Step 6: Final answer
    x = 13,208.15

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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.