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Finding the Fourth Proportional to 17,406.17, 24,019.87 and 9,448.22

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Solution

The fourth proportional to 17,406.17, 24,019.87 and 9,448.22 is: 13,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.17 : 24,019.87 = 9,448.22 : x
  2. Step 2: Convert to fraction form
    17,406.17/24,019.87 = 9,448.22/x
  3. Step 3: Cross multiply
    17,406.17x = 24,019.87 × 9,448.22
  4. Step 4: Simplify right side
    17,406.17x = 226,944,976.15
  5. Step 5: Solve for x
    x = 226,944,976.15/17,406.17
  6. Step 6: Final answer
    x = 13,038.19

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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.