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Finding the Fourth Proportional to 23,775.98, 35,659.65 and 7,132.10

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Solution

The fourth proportional to 23,775.98, 35,659.65 and 7,132.10 is: 10,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.98 : 35,659.65 = 7,132.10 : x
  2. Step 2: Convert to fraction form
    23,775.98/35,659.65 = 7,132.10/x
  3. Step 3: Cross multiply
    23,775.98x = 35,659.65 × 7,132.10
  4. Step 4: Simplify right side
    23,775.98x = 254,328,189.77
  5. Step 5: Solve for x
    x = 254,328,189.77/23,775.98
  6. Step 6: Final answer
    x = 10,696.85

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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.