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Finding the Fourth Proportional to 22,312.86, 33,468.27 and 9,829.54

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Solution

The fourth proportional to 22,312.86, 33,468.27 and 9,829.54 is: 14,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,312.86 : 33,468.27 = 9,829.54 : x
  2. Step 2: Convert to fraction form
    22,312.86/33,468.27 = 9,829.54/x
  3. Step 3: Cross multiply
    22,312.86x = 33,468.27 × 9,829.54
  4. Step 4: Simplify right side
    22,312.86x = 328,977,698.70
  5. Step 5: Solve for x
    x = 328,977,698.70/22,312.86
  6. Step 6: Final answer
    x = 14,743.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.