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Finding the Fourth Proportional to 17,526.78, 24,187.46 and 9,569.52

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Solution

The fourth proportional to 17,526.78, 24,187.46 and 9,569.52 is: 13,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,526.78 : 24,187.46 = 9,569.52 : x
  2. Step 2: Convert to fraction form
    17,526.78/24,187.46 = 9,569.52/x
  3. Step 3: Cross multiply
    17,526.78x = 24,187.46 × 9,569.52
  4. Step 4: Simplify right side
    17,526.78x = 231,462,382.22
  5. Step 5: Solve for x
    x = 231,462,382.22/17,526.78
  6. Step 6: Final answer
    x = 13,206.21

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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.