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Finding the Fourth Proportional to 14,206.77, 19,605.15 and 8,238.29

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Solution

The fourth proportional to 14,206.77, 19,605.15 and 8,238.29 is: 11,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.77 : 19,605.15 = 8,238.29 : x
  2. Step 2: Convert to fraction form
    14,206.77/19,605.15 = 8,238.29/x
  3. Step 3: Cross multiply
    14,206.77x = 19,605.15 × 8,238.29
  4. Step 4: Simplify right side
    14,206.77x = 161,512,813.17
  5. Step 5: Solve for x
    x = 161,512,813.17/14,206.77
  6. Step 6: Final answer
    x = 11,368.72

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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.