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Finding the Fourth Proportional to 14,263.20, 21,387.08 and 6,467.76

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Solution

The fourth proportional to 14,263.20, 21,387.08 and 6,467.76 is: 9,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.20 : 21,387.08 = 6,467.76 : x
  2. Step 2: Convert to fraction form
    14,263.20/21,387.08 = 6,467.76/x
  3. Step 3: Cross multiply
    14,263.20x = 21,387.08 × 6,467.76
  4. Step 4: Simplify right side
    14,263.20x = 138,326,500.54
  5. Step 5: Solve for x
    x = 138,326,500.54/14,263.20
  6. Step 6: Final answer
    x = 9,698.14

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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.