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Finding the Fourth Proportional to 15,152.99, 22,731.57 and 5,290.83

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Solution

The fourth proportional to 15,152.99, 22,731.57 and 5,290.83 is: 7,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.99 : 22,731.57 = 5,290.83 : x
  2. Step 2: Convert to fraction form
    15,152.99/22,731.57 = 5,290.83/x
  3. Step 3: Cross multiply
    15,152.99x = 22,731.57 × 5,290.83
  4. Step 4: Simplify right side
    15,152.99x = 120,268,872.50
  5. Step 5: Solve for x
    x = 120,268,872.50/15,152.99
  6. Step 6: Final answer
    x = 7,936.98

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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.