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Finding the Fourth Proportional to 23,587.68, 35,381.46 and 6,947.69

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Solution

The fourth proportional to 23,587.68, 35,381.46 and 6,947.69 is: 10,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,587.68 : 35,381.46 = 6,947.69 : x
  2. Step 2: Convert to fraction form
    23,587.68/35,381.46 = 6,947.69/x
  3. Step 3: Cross multiply
    23,587.68x = 35,381.46 × 6,947.69
  4. Step 4: Simplify right side
    23,587.68x = 245,819,415.83
  5. Step 5: Solve for x
    x = 245,819,415.83/23,587.68
  6. Step 6: Final answer
    x = 10,421.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.