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Finding the Fourth Proportional to 14,205.69, 19,596.64 and 10,842.66

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Solution

The fourth proportional to 14,205.69, 19,596.64 and 10,842.66 is: 14,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.69 : 19,596.64 = 10,842.66 : x
  2. Step 2: Convert to fraction form
    14,205.69/19,596.64 = 10,842.66/x
  3. Step 3: Cross multiply
    14,205.69x = 19,596.64 × 10,842.66
  4. Step 4: Simplify right side
    14,205.69x = 212,479,677.56
  5. Step 5: Solve for x
    x = 212,479,677.56/14,205.69
  6. Step 6: Final answer
    x = 14,957.37

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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.