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Finding the Fourth Proportional to 13,866.50, 20,800.53 and 9,422.28

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Solution

The fourth proportional to 13,866.50, 20,800.53 and 9,422.28 is: 14,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.50 : 20,800.53 = 9,422.28 : x
  2. Step 2: Convert to fraction form
    13,866.50/20,800.53 = 9,422.28/x
  3. Step 3: Cross multiply
    13,866.50x = 20,800.53 × 9,422.28
  4. Step 4: Simplify right side
    13,866.50x = 195,988,417.81
  5. Step 5: Solve for x
    x = 195,988,417.81/13,866.50
  6. Step 6: Final answer
    x = 14,133.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.