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Finding the Fourth Proportional to 15,145.50, 22,719.06 and 4,758.06

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Solution

The fourth proportional to 15,145.50, 22,719.06 and 4,758.06 is: 7,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,145.50 : 22,719.06 = 4,758.06 : x
  2. Step 2: Convert to fraction form
    15,145.50/22,719.06 = 4,758.06/x
  3. Step 3: Cross multiply
    15,145.50x = 22,719.06 × 4,758.06
  4. Step 4: Simplify right side
    15,145.50x = 108,098,650.62
  5. Step 5: Solve for x
    x = 108,098,650.62/15,145.50
  6. Step 6: Final answer
    x = 7,137.34

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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.