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Finding the Fourth Proportional to 14,206.72, 19,603.96 and 7,832.22

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Solution

The fourth proportional to 14,206.72, 19,603.96 and 7,832.22 is: 10,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.72 : 19,603.96 = 7,832.22 : x
  2. Step 2: Convert to fraction form
    14,206.72/19,603.96 = 7,832.22/x
  3. Step 3: Cross multiply
    14,206.72x = 19,603.96 × 7,832.22
  4. Step 4: Simplify right side
    14,206.72x = 153,542,527.59
  5. Step 5: Solve for x
    x = 153,542,527.59/14,206.72
  6. Step 6: Final answer
    x = 10,807.74

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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.