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Finding the Fourth Proportional to 14,769.71, 20,357.89 and 10,457.27

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Solution

The fourth proportional to 14,769.71, 20,357.89 and 10,457.27 is: 14,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769.71 : 20,357.89 = 10,457.27 : x
  2. Step 2: Convert to fraction form
    14,769.71/20,357.89 = 10,457.27/x
  3. Step 3: Cross multiply
    14,769.71x = 20,357.89 × 10,457.27
  4. Step 4: Simplify right side
    14,769.71x = 212,887,952.36
  5. Step 5: Solve for x
    x = 212,887,952.36/14,769.71
  6. Step 6: Final answer
    x = 14,413.82

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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.