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Finding the Fourth Proportional to 14,866.49, 22,256.00 and 9,923.87

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Solution

The fourth proportional to 14,866.49, 22,256.00 and 9,923.87 is: 14,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.49 : 22,256.00 = 9,923.87 : x
  2. Step 2: Convert to fraction form
    14,866.49/22,256.00 = 9,923.87/x
  3. Step 3: Cross multiply
    14,866.49x = 22,256.00 × 9,923.87
  4. Step 4: Simplify right side
    14,866.49x = 220,865,724.12
  5. Step 5: Solve for x
    x = 220,865,724.12/14,866.49
  6. Step 6: Final answer
    x = 14,856.61

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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.