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Finding the Fourth Proportional to 14,433.40, 21,652.38 and 6,113.47

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Solution

The fourth proportional to 14,433.40, 21,652.38 and 6,113.47 is: 9,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.40 : 21,652.38 = 6,113.47 : x
  2. Step 2: Convert to fraction form
    14,433.40/21,652.38 = 6,113.47/x
  3. Step 3: Cross multiply
    14,433.40x = 21,652.38 × 6,113.47
  4. Step 4: Simplify right side
    14,433.40x = 132,371,175.56
  5. Step 5: Solve for x
    x = 132,371,175.56/14,433.40
  6. Step 6: Final answer
    x = 9,171.17

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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.