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Finding the Fourth Proportional to 16,214.87, 22,376.54 and 8,762.87

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Solution

The fourth proportional to 16,214.87, 22,376.54 and 8,762.87 is: 12,092.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.87 : 22,376.54 = 8,762.87 : x
  2. Step 2: Convert to fraction form
    16,214.87/22,376.54 = 8,762.87/x
  3. Step 3: Cross multiply
    16,214.87x = 22,376.54 × 8,762.87
  4. Step 4: Simplify right side
    16,214.87x = 196,082,667.26
  5. Step 5: Solve for x
    x = 196,082,667.26/16,214.87
  6. Step 6: Final answer
    x = 12,092.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.