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Finding the Fourth Proportional to 13,024.34, 17,979.81 and 7,434.26

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Solution

The fourth proportional to 13,024.34, 17,979.81 and 7,434.26 is: 10,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.34 : 17,979.81 = 7,434.26 : x
  2. Step 2: Convert to fraction form
    13,024.34/17,979.81 = 7,434.26/x
  3. Step 3: Cross multiply
    13,024.34x = 17,979.81 × 7,434.26
  4. Step 4: Simplify right side
    13,024.34x = 133,666,582.29
  5. Step 5: Solve for x
    x = 133,666,582.29/13,024.34
  6. Step 6: Final answer
    x = 10,262.83

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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.