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Finding the Fourth Proportional to 25,594.72, 38,376.24 and 9,994

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Solution

The fourth proportional to 25,594.72, 38,376.24 and 9,994 is: 14,984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.72 : 38,376.24 = 9,994 : x
  2. Step 2: Convert to fraction form
    25,594.72/38,376.24 = 9,994/x
  3. Step 3: Cross multiply
    25,594.72x = 38,376.24 × 9,994
  4. Step 4: Simplify right side
    25,594.72x = 383,532,142.56
  5. Step 5: Solve for x
    x = 383,532,142.56/25,594.72
  6. Step 6: Final answer
    x = 14,984.81

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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.