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Finding the Fourth Proportional to 16,275.21, 22,459.80 and 8,823.21

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Solution

The fourth proportional to 16,275.21, 22,459.80 and 8,823.21 is: 12,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.21 : 22,459.80 = 8,823.21 : x
  2. Step 2: Convert to fraction form
    16,275.21/22,459.80 = 8,823.21/x
  3. Step 3: Cross multiply
    16,275.21x = 22,459.80 × 8,823.21
  4. Step 4: Simplify right side
    16,275.21x = 198,167,531.96
  5. Step 5: Solve for x
    x = 198,167,531.96/16,275.21
  6. Step 6: Final answer
    x = 12,176.04

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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.