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Finding the Fourth Proportional to 17,424, 24,045.24 and 9,466.22

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Solution

The fourth proportional to 17,424, 24,045.24 and 9,466.22 is: 13,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424 : 24,045.24 = 9,466.22 : x
  2. Step 2: Convert to fraction form
    17,424/24,045.24 = 9,466.22/x
  3. Step 3: Cross multiply
    17,424x = 24,045.24 × 9,466.22
  4. Step 4: Simplify right side
    17,424x = 227,617,411.57
  5. Step 5: Solve for x
    x = 227,617,411.57/17,424
  6. Step 6: Final answer
    x = 13,063.44

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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.