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Finding the Fourth Proportional to 23,748.93, 35,625.25 and 7,954.02

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Solution

The fourth proportional to 23,748.93, 35,625.25 and 7,954.02 is: 11,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748.93 : 35,625.25 = 7,954.02 : x
  2. Step 2: Convert to fraction form
    23,748.93/35,625.25 = 7,954.02/x
  3. Step 3: Cross multiply
    23,748.93x = 35,625.25 × 7,954.02
  4. Step 4: Simplify right side
    23,748.93x = 283,363,951.01
  5. Step 5: Solve for x
    x = 283,363,951.01/23,748.93
  6. Step 6: Final answer
    x = 11,931.65

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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.