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Finding the Fourth Proportional to 16,242.66, 22,412.96 and 9,168.66

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Solution

The fourth proportional to 16,242.66, 22,412.96 and 9,168.66 is: 12,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.66 : 22,412.96 = 9,168.66 : x
  2. Step 2: Convert to fraction form
    16,242.66/22,412.96 = 9,168.66/x
  3. Step 3: Cross multiply
    16,242.66x = 22,412.96 × 9,168.66
  4. Step 4: Simplify right side
    16,242.66x = 205,496,809.83
  5. Step 5: Solve for x
    x = 205,496,809.83/16,242.66
  6. Step 6: Final answer
    x = 12,651.67

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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.