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Finding the Fourth Proportional to 14,720.82, 20,314.35 and 8,006.28

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Solution

The fourth proportional to 14,720.82, 20,314.35 and 8,006.28 is: 11,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.82 : 20,314.35 = 8,006.28 : x
  2. Step 2: Convert to fraction form
    14,720.82/20,314.35 = 8,006.28/x
  3. Step 3: Cross multiply
    14,720.82x = 20,314.35 × 8,006.28
  4. Step 4: Simplify right side
    14,720.82x = 162,642,374.12
  5. Step 5: Solve for x
    x = 162,642,374.12/14,720.82
  6. Step 6: Final answer
    x = 11,048.46

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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.