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Finding the Fourth Proportional to 14,142.83, 21,218.84 and 6,746.31

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Solution

The fourth proportional to 14,142.83, 21,218.84 and 6,746.31 is: 10,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.83 : 21,218.84 = 6,746.31 : x
  2. Step 2: Convert to fraction form
    14,142.83/21,218.84 = 6,746.31/x
  3. Step 3: Cross multiply
    14,142.83x = 21,218.84 × 6,746.31
  4. Step 4: Simplify right side
    14,142.83x = 143,148,838.75
  5. Step 5: Solve for x
    x = 143,148,838.75/14,142.83
  6. Step 6: Final answer
    x = 10,121.66

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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.