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Finding the Fourth Proportional to 24,606.46, 33,959.42 and 14,538.16

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Solution

The fourth proportional to 24,606.46, 33,959.42 and 14,538.16 is: 20,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.46 : 33,959.42 = 14,538.16 : x
  2. Step 2: Convert to fraction form
    24,606.46/33,959.42 = 14,538.16/x
  3. Step 3: Cross multiply
    24,606.46x = 33,959.42 × 14,538.16
  4. Step 4: Simplify right side
    24,606.46x = 493,707,408.78
  5. Step 5: Solve for x
    x = 493,707,408.78/24,606.46
  6. Step 6: Final answer
    x = 20,064.14

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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.