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Finding the Fourth Proportional to 17,424.41, 24,045.66 and 9,466.58

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Solution

The fourth proportional to 17,424.41, 24,045.66 and 9,466.58 is: 13,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.41 : 24,045.66 = 9,466.58 : x
  2. Step 2: Convert to fraction form
    17,424.41/24,045.66 = 9,466.58/x
  3. Step 3: Cross multiply
    17,424.41x = 24,045.66 × 9,466.58
  4. Step 4: Simplify right side
    17,424.41x = 227,630,224.16
  5. Step 5: Solve for x
    x = 227,630,224.16/17,424.41
  6. Step 6: Final answer
    x = 13,063.87

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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.