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Finding the Fourth Proportional to 17,453.69, 24,084.26 and 9,897.60

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Solution

The fourth proportional to 17,453.69, 24,084.26 and 9,897.60 is: 13,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,453.69 : 24,084.26 = 9,897.60 : x
  2. Step 2: Convert to fraction form
    17,453.69/24,084.26 = 9,897.60/x
  3. Step 3: Cross multiply
    17,453.69x = 24,084.26 × 9,897.60
  4. Step 4: Simplify right side
    17,453.69x = 238,376,371.78
  5. Step 5: Solve for x
    x = 238,376,371.78/17,453.69
  6. Step 6: Final answer
    x = 13,657.65

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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.