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Finding the Fourth Proportional to 23,595.31, 35,382.38 and 6,949.51

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Solution

The fourth proportional to 23,595.31, 35,382.38 and 6,949.51 is: 10,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,595.31 : 35,382.38 = 6,949.51 : x
  2. Step 2: Convert to fraction form
    23,595.31/35,382.38 = 6,949.51/x
  3. Step 3: Cross multiply
    23,595.31x = 35,382.38 × 6,949.51
  4. Step 4: Simplify right side
    23,595.31x = 245,890,203.63
  5. Step 5: Solve for x
    x = 245,890,203.63/23,595.31
  6. Step 6: Final answer
    x = 10,421.15

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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.