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Finding the Fourth Proportional to 14,838.32, 22,257.72 and 7,047.92

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Solution

The fourth proportional to 14,838.32, 22,257.72 and 7,047.92 is: 10,571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.32 : 22,257.72 = 7,047.92 : x
  2. Step 2: Convert to fraction form
    14,838.32/22,257.72 = 7,047.92/x
  3. Step 3: Cross multiply
    14,838.32x = 22,257.72 × 7,047.92
  4. Step 4: Simplify right side
    14,838.32x = 156,870,629.94
  5. Step 5: Solve for x
    x = 156,870,629.94/14,838.32
  6. Step 6: Final answer
    x = 10,571.99

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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.