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Finding the Fourth Proportional to 23,672, 35,508.28 and 6,140.76

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Solution

The fourth proportional to 23,672, 35,508.28 and 6,140.76 is: 9,211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672 : 35,508.28 = 6,140.76 : x
  2. Step 2: Convert to fraction form
    23,672/35,508.28 = 6,140.76/x
  3. Step 3: Cross multiply
    23,672x = 35,508.28 × 6,140.76
  4. Step 4: Simplify right side
    23,672x = 218,047,825.49
  5. Step 5: Solve for x
    x = 218,047,825.49/23,672
  6. Step 6: Final answer
    x = 9,211.21

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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.