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Finding the Fourth Proportional to 15,196.78, 22,778.13 and 9,941.89

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Solution

The fourth proportional to 15,196.78, 22,778.13 and 9,941.89 is: 14,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.78 : 22,778.13 = 9,941.89 : x
  2. Step 2: Convert to fraction form
    15,196.78/22,778.13 = 9,941.89/x
  3. Step 3: Cross multiply
    15,196.78x = 22,778.13 × 9,941.89
  4. Step 4: Simplify right side
    15,196.78x = 226,457,662.87
  5. Step 5: Solve for x
    x = 226,457,662.87/15,196.78
  6. Step 6: Final answer
    x = 14,901.69

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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.