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Finding the Fourth Proportional to 14,871.50, 22,287.15 and 5,502.74

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Solution

The fourth proportional to 14,871.50, 22,287.15 and 5,502.74 is: 8,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.50 : 22,287.15 = 5,502.74 : x
  2. Step 2: Convert to fraction form
    14,871.50/22,287.15 = 5,502.74/x
  3. Step 3: Cross multiply
    14,871.50x = 22,287.15 × 5,502.74
  4. Step 4: Simplify right side
    14,871.50x = 122,640,280.36
  5. Step 5: Solve for x
    x = 122,640,280.36/14,871.50
  6. Step 6: Final answer
    x = 8,246.67

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Why These Related Problems?

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