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Finding the Fourth Proportional to 14,065.32, 21,085.83 and 6,666

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Solution

The fourth proportional to 14,065.32, 21,085.83 and 6,666 is: 9,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.32 : 21,085.83 = 6,666 : x
  2. Step 2: Convert to fraction form
    14,065.32/21,085.83 = 6,666/x
  3. Step 3: Cross multiply
    14,065.32x = 21,085.83 × 6,666
  4. Step 4: Simplify right side
    14,065.32x = 140,558,142.78
  5. Step 5: Solve for x
    x = 140,558,142.78/14,065.32
  6. Step 6: Final answer
    x = 9,993.24

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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.