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Finding the Fourth Proportional to 16,424.90, 22,667.19 and 10,049.50

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Solution

The fourth proportional to 16,424.90, 22,667.19 and 10,049.50 is: 13,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.90 : 22,667.19 = 10,049.50 : x
  2. Step 2: Convert to fraction form
    16,424.90/22,667.19 = 10,049.50/x
  3. Step 3: Cross multiply
    16,424.90x = 22,667.19 × 10,049.50
  4. Step 4: Simplify right side
    16,424.90x = 227,793,762.32
  5. Step 5: Solve for x
    x = 227,793,762.32/16,424.90
  6. Step 6: Final answer
    x = 13,868.81

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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.