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Finding the Fourth Proportional to 17,510.09, 24,164 and 9,552.49

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Solution

The fourth proportional to 17,510.09, 24,164 and 9,552.49 is: 13,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,510.09 : 24,164 = 9,552.49 : x
  2. Step 2: Convert to fraction form
    17,510.09/24,164 = 9,552.49/x
  3. Step 3: Cross multiply
    17,510.09x = 24,164 × 9,552.49
  4. Step 4: Simplify right side
    17,510.09x = 230,826,368.36
  5. Step 5: Solve for x
    x = 230,826,368.36/17,510.09
  6. Step 6: Final answer
    x = 13,182.48

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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.