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Finding the Fourth Proportional to 23,897.60, 35,846.52 and 7,257.77

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Solution

The fourth proportional to 23,897.60, 35,846.52 and 7,257.77 is: 10,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.60 : 35,846.52 = 7,257.77 : x
  2. Step 2: Convert to fraction form
    23,897.60/35,846.52 = 7,257.77/x
  3. Step 3: Cross multiply
    23,897.60x = 35,846.52 × 7,257.77
  4. Step 4: Simplify right side
    23,897.60x = 260,165,725.44
  5. Step 5: Solve for x
    x = 260,165,725.44/23,897.60
  6. Step 6: Final answer
    x = 10,886.69

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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.