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Finding the Fourth Proportional to 23,508, 35,269.88 and 15,641.53

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Solution

The fourth proportional to 23,508, 35,269.88 and 15,641.53 is: 23,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508 : 35,269.88 = 15,641.53 : x
  2. Step 2: Convert to fraction form
    23,508/35,269.88 = 15,641.53/x
  3. Step 3: Cross multiply
    23,508x = 35,269.88 × 15,641.53
  4. Step 4: Simplify right side
    23,508x = 551,674,719.73
  5. Step 5: Solve for x
    x = 551,674,719.73/23,508
  6. Step 6: Final answer
    x = 23,467.53

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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.