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Finding the Fourth Proportional to 16,009.32, 22,085 and 10,348.92

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Solution

The fourth proportional to 16,009.32, 22,085 and 10,348.92 is: 14,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.32 : 22,085 = 10,348.92 : x
  2. Step 2: Convert to fraction form
    16,009.32/22,085 = 10,348.92/x
  3. Step 3: Cross multiply
    16,009.32x = 22,085 × 10,348.92
  4. Step 4: Simplify right side
    16,009.32x = 228,555,898.20
  5. Step 5: Solve for x
    x = 228,555,898.20/16,009.32
  6. Step 6: Final answer
    x = 14,276.43

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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.