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Finding the Fourth Proportional to 25,594.64, 38,367.69 and 8,943.86

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Solution

The fourth proportional to 25,594.64, 38,367.69 and 8,943.86 is: 13,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.64 : 38,367.69 = 8,943.86 : x
  2. Step 2: Convert to fraction form
    25,594.64/38,367.69 = 8,943.86/x
  3. Step 3: Cross multiply
    25,594.64x = 38,367.69 × 8,943.86
  4. Step 4: Simplify right side
    25,594.64x = 343,155,056.04
  5. Step 5: Solve for x
    x = 343,155,056.04/25,594.64
  6. Step 6: Final answer
    x = 13,407.30

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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.