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Finding the Fourth Proportional to 20,841.74, 31,265.86 and 6,987.50

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Solution

The fourth proportional to 20,841.74, 31,265.86 and 6,987.50 is: 10,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.74 : 31,265.86 = 6,987.50 : x
  2. Step 2: Convert to fraction form
    20,841.74/31,265.86 = 6,987.50/x
  3. Step 3: Cross multiply
    20,841.74x = 31,265.86 × 6,987.50
  4. Step 4: Simplify right side
    20,841.74x = 218,470,196.75
  5. Step 5: Solve for x
    x = 218,470,196.75/20,841.74
  6. Step 6: Final answer
    x = 10,482.34

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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.