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Finding the Fourth Proportional to 23,892.95, 35,835.23 and 9,102.76

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Solution

The fourth proportional to 23,892.95, 35,835.23 and 9,102.76 is: 13,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,892.95 : 35,835.23 = 9,102.76 : x
  2. Step 2: Convert to fraction form
    23,892.95/35,835.23 = 9,102.76/x
  3. Step 3: Cross multiply
    23,892.95x = 35,835.23 × 9,102.76
  4. Step 4: Simplify right side
    23,892.95x = 326,199,273.54
  5. Step 5: Solve for x
    x = 326,199,273.54/23,892.95
  6. Step 6: Final answer
    x = 13,652.53

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Why These Related Problems?

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