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Finding the Fourth Proportional to 12,581.48, 17,362.06 and 6,916.22

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Solution

The fourth proportional to 12,581.48, 17,362.06 and 6,916.22 is: 9,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.48 : 17,362.06 = 6,916.22 : x
  2. Step 2: Convert to fraction form
    12,581.48/17,362.06 = 6,916.22/x
  3. Step 3: Cross multiply
    12,581.48x = 17,362.06 × 6,916.22
  4. Step 4: Simplify right side
    12,581.48x = 120,079,722.51
  5. Step 5: Solve for x
    x = 120,079,722.51/12,581.48
  6. Step 6: Final answer
    x = 9,544.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.