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Finding the Fourth Proportional to 14,609.51, 21,896.97 and 6,705.38

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Solution

The fourth proportional to 14,609.51, 21,896.97 and 6,705.38 is: 10,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.51 : 21,896.97 = 6,705.38 : x
  2. Step 2: Convert to fraction form
    14,609.51/21,896.97 = 6,705.38/x
  3. Step 3: Cross multiply
    14,609.51x = 21,896.97 × 6,705.38
  4. Step 4: Simplify right side
    14,609.51x = 146,827,534.30
  5. Step 5: Solve for x
    x = 146,827,534.30/14,609.51
  6. Step 6: Final answer
    x = 10,050.13

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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.