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Finding the Fourth Proportional to 16,381.96, 22,607.30 and 8,929.96

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Solution

The fourth proportional to 16,381.96, 22,607.30 and 8,929.96 is: 12,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.96 : 22,607.30 = 8,929.96 : x
  2. Step 2: Convert to fraction form
    16,381.96/22,607.30 = 8,929.96/x
  3. Step 3: Cross multiply
    16,381.96x = 22,607.30 × 8,929.96
  4. Step 4: Simplify right side
    16,381.96x = 201,882,284.71
  5. Step 5: Solve for x
    x = 201,882,284.71/16,381.96
  6. Step 6: Final answer
    x = 12,323.45

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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.