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Finding the Fourth Proportional to 23,594.86, 35,414.16 and 11,916.28

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Solution

The fourth proportional to 23,594.86, 35,414.16 and 11,916.28 is: 17,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.86 : 35,414.16 = 11,916.28 : x
  2. Step 2: Convert to fraction form
    23,594.86/35,414.16 = 11,916.28/x
  3. Step 3: Cross multiply
    23,594.86x = 35,414.16 × 11,916.28
  4. Step 4: Simplify right side
    23,594.86x = 422,005,046.52
  5. Step 5: Solve for x
    x = 422,005,046.52/23,594.86
  6. Step 6: Final answer
    x = 17,885.47

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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.