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Finding the Fourth Proportional to 23,718.80, 35,572.96 and 6,848.14

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Solution

The fourth proportional to 23,718.80, 35,572.96 and 6,848.14 is: 10,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,718.80 : 35,572.96 = 6,848.14 : x
  2. Step 2: Convert to fraction form
    23,718.80/35,572.96 = 6,848.14/x
  3. Step 3: Cross multiply
    23,718.80x = 35,572.96 × 6,848.14
  4. Step 4: Simplify right side
    23,718.80x = 243,608,726.57
  5. Step 5: Solve for x
    x = 243,608,726.57/23,718.80
  6. Step 6: Final answer
    x = 10,270.70

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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.