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Finding the Fourth Proportional to 23,143, 34,716.12 and 9,292

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Solution

The fourth proportional to 23,143, 34,716.12 and 9,292 is: 13,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143 : 34,716.12 = 9,292 : x
  2. Step 2: Convert to fraction form
    23,143/34,716.12 = 9,292/x
  3. Step 3: Cross multiply
    23,143x = 34,716.12 × 9,292
  4. Step 4: Simplify right side
    23,143x = 322,582,187.04
  5. Step 5: Solve for x
    x = 322,582,187.04/23,143
  6. Step 6: Final answer
    x = 13,938.65

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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.