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Finding the Fourth Proportional to 14,206.80, 19,603.14 and 8,237.22

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Solution

The fourth proportional to 14,206.80, 19,603.14 and 8,237.22 is: 11,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.80 : 19,603.14 = 8,237.22 : x
  2. Step 2: Convert to fraction form
    14,206.80/19,603.14 = 8,237.22/x
  3. Step 3: Cross multiply
    14,206.80x = 19,603.14 × 8,237.22
  4. Step 4: Simplify right side
    14,206.80x = 161,475,376.87
  5. Step 5: Solve for x
    x = 161,475,376.87/14,206.80
  6. Step 6: Final answer
    x = 11,366.06

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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.