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Finding the Fourth Proportional to 23,748, 35,627.76 and 7,332

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Solution

The fourth proportional to 23,748, 35,627.76 and 7,332 is: 10,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748 : 35,627.76 = 7,332 : x
  2. Step 2: Convert to fraction form
    23,748/35,627.76 = 7,332/x
  3. Step 3: Cross multiply
    23,748x = 35,627.76 × 7,332
  4. Step 4: Simplify right side
    23,748x = 261,222,736.32
  5. Step 5: Solve for x
    x = 261,222,736.32/23,748
  6. Step 6: Final answer
    x = 10,999.78

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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.