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Finding the Fourth Proportional to 16,354.83, 22,568.98 and 9,281.64

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Solution

The fourth proportional to 16,354.83, 22,568.98 and 9,281.64 is: 12,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.83 : 22,568.98 = 9,281.64 : x
  2. Step 2: Convert to fraction form
    16,354.83/22,568.98 = 9,281.64/x
  3. Step 3: Cross multiply
    16,354.83x = 22,568.98 × 9,281.64
  4. Step 4: Simplify right side
    16,354.83x = 209,477,147.53
  5. Step 5: Solve for x
    x = 209,477,147.53/16,354.83
  6. Step 6: Final answer
    x = 12,808.27

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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.