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Finding the Fourth Proportional to 12,538.49, 18,808.98 and 4,643.12

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Solution

The fourth proportional to 12,538.49, 18,808.98 and 4,643.12 is: 6,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.49 : 18,808.98 = 4,643.12 : x
  2. Step 2: Convert to fraction form
    12,538.49/18,808.98 = 4,643.12/x
  3. Step 3: Cross multiply
    12,538.49x = 18,808.98 × 4,643.12
  4. Step 4: Simplify right side
    12,538.49x = 87,332,257.17
  5. Step 5: Solve for x
    x = 87,332,257.17/12,538.49
  6. Step 6: Final answer
    x = 6,965.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.