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Finding the Fourth Proportional to 23,897.70, 35,854.38 and 7,258.41

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Solution

The fourth proportional to 23,897.70, 35,854.38 and 7,258.41 is: 10,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.70 : 35,854.38 = 7,258.41 : x
  2. Step 2: Convert to fraction form
    23,897.70/35,854.38 = 7,258.41/x
  3. Step 3: Cross multiply
    23,897.70x = 35,854.38 × 7,258.41
  4. Step 4: Simplify right side
    23,897.70x = 260,245,790.34
  5. Step 5: Solve for x
    x = 260,245,790.34/23,897.70
  6. Step 6: Final answer
    x = 10,889.99

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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.