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Finding the Fourth Proportional to 14,164.40, 21,216.86 and 6,761.40

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Solution

The fourth proportional to 14,164.40, 21,216.86 and 6,761.40 is: 10,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.40 : 21,216.86 = 6,761.40 : x
  2. Step 2: Convert to fraction form
    14,164.40/21,216.86 = 6,761.40/x
  3. Step 3: Cross multiply
    14,164.40x = 21,216.86 × 6,761.40
  4. Step 4: Simplify right side
    14,164.40x = 143,455,677.20
  5. Step 5: Solve for x
    x = 143,455,677.20/14,164.40
  6. Step 6: Final answer
    x = 10,127.90

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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.