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Finding the Fourth Proportional to 23,594.31, 35,380.88 and 6,948.51

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Solution

The fourth proportional to 23,594.31, 35,380.88 and 6,948.51 is: 10,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.31 : 35,380.88 = 6,948.51 : x
  2. Step 2: Convert to fraction form
    23,594.31/35,380.88 = 6,948.51/x
  3. Step 3: Cross multiply
    23,594.31x = 35,380.88 × 6,948.51
  4. Step 4: Simplify right side
    23,594.31x = 245,844,337.09
  5. Step 5: Solve for x
    x = 245,844,337.09/23,594.31
  6. Step 6: Final answer
    x = 10,419.64

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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.