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Finding the Fourth Proportional to 21,207.09, 31,812.17 and 6,417.17

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Solution

The fourth proportional to 21,207.09, 31,812.17 and 6,417.17 is: 9,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.09 : 31,812.17 = 6,417.17 : x
  2. Step 2: Convert to fraction form
    21,207.09/31,812.17 = 6,417.17/x
  3. Step 3: Cross multiply
    21,207.09x = 31,812.17 × 6,417.17
  4. Step 4: Simplify right side
    21,207.09x = 204,144,228.10
  5. Step 5: Solve for x
    x = 204,144,228.10/21,207.09
  6. Step 6: Final answer
    x = 9,626.22

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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.