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Finding the Fourth Proportional to 19,336.50, 26,684.46 and 10,953

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Solution

The fourth proportional to 19,336.50, 26,684.46 and 10,953 is: 15,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,336.50 : 26,684.46 = 10,953 : x
  2. Step 2: Convert to fraction form
    19,336.50/26,684.46 = 10,953/x
  3. Step 3: Cross multiply
    19,336.50x = 26,684.46 × 10,953
  4. Step 4: Simplify right side
    19,336.50x = 292,274,890.38
  5. Step 5: Solve for x
    x = 292,274,890.38/19,336.50
  6. Step 6: Final answer
    x = 15,115.19

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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.