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Finding the Fourth Proportional to 13,010.31, 17,954.06 and 7,345.17

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Solution

The fourth proportional to 13,010.31, 17,954.06 and 7,345.17 is: 10,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.31 : 17,954.06 = 7,345.17 : x
  2. Step 2: Convert to fraction form
    13,010.31/17,954.06 = 7,345.17/x
  3. Step 3: Cross multiply
    13,010.31x = 17,954.06 × 7,345.17
  4. Step 4: Simplify right side
    13,010.31x = 131,875,586.16
  5. Step 5: Solve for x
    x = 131,875,586.16/13,010.31
  6. Step 6: Final answer
    x = 10,136.24

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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.