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Finding the Fourth Proportional to 16,251.44, 24,368.04 and 5,156.06

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Solution

The fourth proportional to 16,251.44, 24,368.04 and 5,156.06 is: 7,731.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251.44 : 24,368.04 = 5,156.06 : x
  2. Step 2: Convert to fraction form
    16,251.44/24,368.04 = 5,156.06/x
  3. Step 3: Cross multiply
    16,251.44x = 24,368.04 × 5,156.06
  4. Step 4: Simplify right side
    16,251.44x = 125,643,076.32
  5. Step 5: Solve for x
    x = 125,643,076.32/16,251.44
  6. Step 6: Final answer
    x = 7,731.20

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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.