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Finding the Fourth Proportional to 14,206.82, 19,605.54 and 7,833.66

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Solution

The fourth proportional to 14,206.82, 19,605.54 and 7,833.66 is: 10,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.82 : 19,605.54 = 7,833.66 : x
  2. Step 2: Convert to fraction form
    14,206.82/19,605.54 = 7,833.66/x
  3. Step 3: Cross multiply
    14,206.82x = 19,605.54 × 7,833.66
  4. Step 4: Simplify right side
    14,206.82x = 153,583,134.48
  5. Step 5: Solve for x
    x = 153,583,134.48/14,206.82
  6. Step 6: Final answer
    x = 10,810.52

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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.