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Finding the Fourth Proportional to 16,076.76, 24,115.44 and 4,390.28

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Solution

The fourth proportional to 16,076.76, 24,115.44 and 4,390.28 is: 6,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.76 : 24,115.44 = 4,390.28 : x
  2. Step 2: Convert to fraction form
    16,076.76/24,115.44 = 4,390.28/x
  3. Step 3: Cross multiply
    16,076.76x = 24,115.44 × 4,390.28
  4. Step 4: Simplify right side
    16,076.76x = 105,873,533.92
  5. Step 5: Solve for x
    x = 105,873,533.92/16,076.76
  6. Step 6: Final answer
    x = 6,585.50

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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.