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Finding the Fourth Proportional to 16,341.41, 22,551 and 9,267.88

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Solution

The fourth proportional to 16,341.41, 22,551 and 9,267.88 is: 12,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.41 : 22,551 = 9,267.88 : x
  2. Step 2: Convert to fraction form
    16,341.41/22,551 = 9,267.88/x
  3. Step 3: Cross multiply
    16,341.41x = 22,551 × 9,267.88
  4. Step 4: Simplify right side
    16,341.41x = 209,000,018.26
  5. Step 5: Solve for x
    x = 209,000,018.26/16,341.41
  6. Step 6: Final answer
    x = 12,789.60

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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.