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Finding the Fourth Proportional to 23,557, 35,335.56 and 7,141

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Solution

The fourth proportional to 23,557, 35,335.56 and 7,141 is: 10,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557 : 35,335.56 = 7,141 : x
  2. Step 2: Convert to fraction form
    23,557/35,335.56 = 7,141/x
  3. Step 3: Cross multiply
    23,557x = 35,335.56 × 7,141
  4. Step 4: Simplify right side
    23,557x = 252,331,233.96
  5. Step 5: Solve for x
    x = 252,331,233.96/23,557
  6. Step 6: Final answer
    x = 10,711.52

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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.