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Finding the Fourth Proportional to 16,335.83, 22,540 and 10,678.86

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Solution

The fourth proportional to 16,335.83, 22,540 and 10,678.86 is: 14,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335.83 : 22,540 = 10,678.86 : x
  2. Step 2: Convert to fraction form
    16,335.83/22,540 = 10,678.86/x
  3. Step 3: Cross multiply
    16,335.83x = 22,540 × 10,678.86
  4. Step 4: Simplify right side
    16,335.83x = 240,701,504.40
  5. Step 5: Solve for x
    x = 240,701,504.40/16,335.83
  6. Step 6: Final answer
    x = 14,734.58

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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.