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Finding the Fourth Proportional to 23,886.72, 35,826.07 and 7,242.77

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Solution

The fourth proportional to 23,886.72, 35,826.07 and 7,242.77 is: 10,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.72 : 35,826.07 = 7,242.77 : x
  2. Step 2: Convert to fraction form
    23,886.72/35,826.07 = 7,242.77/x
  3. Step 3: Cross multiply
    23,886.72x = 35,826.07 × 7,242.77
  4. Step 4: Simplify right side
    23,886.72x = 259,479,985.01
  5. Step 5: Solve for x
    x = 259,479,985.01/23,886.72
  6. Step 6: Final answer
    x = 10,862.94

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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.