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Finding the Fourth Proportional to 14,720.49, 20,314.12 and 8,006.17

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Solution

The fourth proportional to 14,720.49, 20,314.12 and 8,006.17 is: 11,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.49 : 20,314.12 = 8,006.17 : x
  2. Step 2: Convert to fraction form
    14,720.49/20,314.12 = 8,006.17/x
  3. Step 3: Cross multiply
    14,720.49x = 20,314.12 × 8,006.17
  4. Step 4: Simplify right side
    14,720.49x = 162,638,156.52
  5. Step 5: Solve for x
    x = 162,638,156.52/14,720.49
  6. Step 6: Final answer
    x = 11,048.42

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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.