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Finding the Fourth Proportional to 14,285.99, 21,429.66 and 6,896.66

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Solution

The fourth proportional to 14,285.99, 21,429.66 and 6,896.66 is: 10,345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.99 : 21,429.66 = 6,896.66 : x
  2. Step 2: Convert to fraction form
    14,285.99/21,429.66 = 6,896.66/x
  3. Step 3: Cross multiply
    14,285.99x = 21,429.66 × 6,896.66
  4. Step 4: Simplify right side
    14,285.99x = 147,793,118.19
  5. Step 5: Solve for x
    x = 147,793,118.19/14,285.99
  6. Step 6: Final answer
    x = 10,345.32

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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.