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Finding the Fourth Proportional to 15,994.84, 24,023.88 and 9,682.48

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Solution

The fourth proportional to 15,994.84, 24,023.88 and 9,682.48 is: 14,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994.84 : 24,023.88 = 9,682.48 : x
  2. Step 2: Convert to fraction form
    15,994.84/24,023.88 = 9,682.48/x
  3. Step 3: Cross multiply
    15,994.84x = 24,023.88 × 9,682.48
  4. Step 4: Simplify right side
    15,994.84x = 232,610,737.62
  5. Step 5: Solve for x
    x = 232,610,737.62/15,994.84
  6. Step 6: Final answer
    x = 14,542.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.