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Finding the Fourth Proportional to 17,526.94, 24,187.26 and 9,569.20

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Solution

The fourth proportional to 17,526.94, 24,187.26 and 9,569.20 is: 13,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.94 : 24,187.26 = 9,569.20 : x
  2. Step 2: Convert to fraction form
    17,526.94/24,187.26 = 9,569.20/x
  3. Step 3: Cross multiply
    17,526.94x = 24,187.26 × 9,569.20
  4. Step 4: Simplify right side
    17,526.94x = 231,452,728.39
  5. Step 5: Solve for x
    x = 231,452,728.39/17,526.94
  6. Step 6: Final answer
    x = 13,205.54

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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.