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Finding the Fourth Proportional to 12,376.36, 18,569.40 and 5,446

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Solution

The fourth proportional to 12,376.36, 18,569.40 and 5,446 is: 8,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.36 : 18,569.40 = 5,446 : x
  2. Step 2: Convert to fraction form
    12,376.36/18,569.40 = 5,446/x
  3. Step 3: Cross multiply
    12,376.36x = 18,569.40 × 5,446
  4. Step 4: Simplify right side
    12,376.36x = 101,128,952.40
  5. Step 5: Solve for x
    x = 101,128,952.40/12,376.36
  6. Step 6: Final answer
    x = 8,171.14

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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.