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Finding the Fourth Proportional to 16,468.30, 22,726.14 and 8,914.63

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Solution

The fourth proportional to 16,468.30, 22,726.14 and 8,914.63 is: 12,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.30 : 22,726.14 = 8,914.63 : x
  2. Step 2: Convert to fraction form
    16,468.30/22,726.14 = 8,914.63/x
  3. Step 3: Cross multiply
    16,468.30x = 22,726.14 × 8,914.63
  4. Step 4: Simplify right side
    16,468.30x = 202,595,129.43
  5. Step 5: Solve for x
    x = 202,595,129.43/16,468.30
  6. Step 6: Final answer
    x = 12,302.13

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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.