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Finding the Fourth Proportional to 14,476.14, 21,699.23 and 6,584.13

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Solution

The fourth proportional to 14,476.14, 21,699.23 and 6,584.13 is: 9,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.14 : 21,699.23 = 6,584.13 : x
  2. Step 2: Convert to fraction form
    14,476.14/21,699.23 = 6,584.13/x
  3. Step 3: Cross multiply
    14,476.14x = 21,699.23 × 6,584.13
  4. Step 4: Simplify right side
    14,476.14x = 142,870,518.30
  5. Step 5: Solve for x
    x = 142,870,518.30/14,476.14
  6. Step 6: Final answer
    x = 9,869.38

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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.