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Finding the Fourth Proportional to 14,184.81, 19,577.41 and 8,220.11

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Solution

The fourth proportional to 14,184.81, 19,577.41 and 8,220.11 is: 11,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.81 : 19,577.41 = 8,220.11 : x
  2. Step 2: Convert to fraction form
    14,184.81/19,577.41 = 8,220.11/x
  3. Step 3: Cross multiply
    14,184.81x = 19,577.41 × 8,220.11
  4. Step 4: Simplify right side
    14,184.81x = 160,928,345.28
  5. Step 5: Solve for x
    x = 160,928,345.28/14,184.81
  6. Step 6: Final answer
    x = 11,345.12

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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.