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Finding the Fourth Proportional to 16,440.16, 22,682.16 and 9,366.88

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Solution

The fourth proportional to 16,440.16, 22,682.16 and 9,366.88 is: 12,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,440.16 : 22,682.16 = 9,366.88 : x
  2. Step 2: Convert to fraction form
    16,440.16/22,682.16 = 9,366.88/x
  3. Step 3: Cross multiply
    16,440.16x = 22,682.16 × 9,366.88
  4. Step 4: Simplify right side
    16,440.16x = 212,461,070.86
  5. Step 5: Solve for x
    x = 212,461,070.86/16,440.16
  6. Step 6: Final answer
    x = 12,923.30

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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.