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Finding the Fourth Proportional to 24,594.86, 33,945.26 and 14,522.64

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Solution

The fourth proportional to 24,594.86, 33,945.26 and 14,522.64 is: 20,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.86 : 33,945.26 = 14,522.64 : x
  2. Step 2: Convert to fraction form
    24,594.86/33,945.26 = 14,522.64/x
  3. Step 3: Cross multiply
    24,594.86x = 33,945.26 × 14,522.64
  4. Step 4: Simplify right side
    24,594.86x = 492,974,718.07
  5. Step 5: Solve for x
    x = 492,974,718.07/24,594.86
  6. Step 6: Final answer
    x = 20,043.81

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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.