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Finding the Fourth Proportional to 28,005.66, 42,015.02 and 12,424.50

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Solution

The fourth proportional to 28,005.66, 42,015.02 and 12,424.50 is: 18,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.66 : 42,015.02 = 12,424.50 : x
  2. Step 2: Convert to fraction form
    28,005.66/42,015.02 = 12,424.50/x
  3. Step 3: Cross multiply
    28,005.66x = 42,015.02 × 12,424.50
  4. Step 4: Simplify right side
    28,005.66x = 522,015,553.87
  5. Step 5: Solve for x
    x = 522,015,553.87/28,005.66
  6. Step 6: Final answer
    x = 18,639.64

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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.