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Finding the Fourth Proportional to 15,717.46, 23,572.52 and 6,947.58

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Solution

The fourth proportional to 15,717.46, 23,572.52 and 6,947.58 is: 10,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.46 : 23,572.52 = 6,947.58 : x
  2. Step 2: Convert to fraction form
    15,717.46/23,572.52 = 6,947.58/x
  3. Step 3: Cross multiply
    15,717.46x = 23,572.52 × 6,947.58
  4. Step 4: Simplify right side
    15,717.46x = 163,771,968.50
  5. Step 5: Solve for x
    x = 163,771,968.50/15,717.46
  6. Step 6: Final answer
    x = 10,419.75

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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.