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Finding the Fourth Proportional to 21,662.96, 32,498.48 and 6,867.90

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Solution

The fourth proportional to 21,662.96, 32,498.48 and 6,867.90 is: 10,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.96 : 32,498.48 = 6,867.90 : x
  2. Step 2: Convert to fraction form
    21,662.96/32,498.48 = 6,867.90/x
  3. Step 3: Cross multiply
    21,662.96x = 32,498.48 × 6,867.90
  4. Step 4: Simplify right side
    21,662.96x = 223,196,327.96
  5. Step 5: Solve for x
    x = 223,196,327.96/21,662.96
  6. Step 6: Final answer
    x = 10,303.13

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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.