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Finding the Fourth Proportional to 23,897.69, 35,825.57 and 9,096.76

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Solution

The fourth proportional to 23,897.69, 35,825.57 and 9,096.76 is: 13,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.69 : 35,825.57 = 9,096.76 : x
  2. Step 2: Convert to fraction form
    23,897.69/35,825.57 = 9,096.76/x
  3. Step 3: Cross multiply
    23,897.69x = 35,825.57 × 9,096.76
  4. Step 4: Simplify right side
    23,897.69x = 325,896,696.73
  5. Step 5: Solve for x
    x = 325,896,696.73/23,897.69
  6. Step 6: Final answer
    x = 13,637.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.