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Finding the Fourth Proportional to 16,416.96, 22,655.60 and 8,964.96

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Solution

The fourth proportional to 16,416.96, 22,655.60 and 8,964.96 is: 12,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.96 : 22,655.60 = 8,964.96 : x
  2. Step 2: Convert to fraction form
    16,416.96/22,655.60 = 8,964.96/x
  3. Step 3: Cross multiply
    16,416.96x = 22,655.60 × 8,964.96
  4. Step 4: Simplify right side
    16,416.96x = 203,106,547.78
  5. Step 5: Solve for x
    x = 203,106,547.78/16,416.96
  6. Step 6: Final answer
    x = 12,371.75

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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.