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Finding the Fourth Proportional to 15,838.74, 23,758.02 and 4,745.43

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Solution

The fourth proportional to 15,838.74, 23,758.02 and 4,745.43 is: 7,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.74 : 23,758.02 = 4,745.43 : x
  2. Step 2: Convert to fraction form
    15,838.74/23,758.02 = 4,745.43/x
  3. Step 3: Cross multiply
    15,838.74x = 23,758.02 × 4,745.43
  4. Step 4: Simplify right side
    15,838.74x = 112,742,020.85
  5. Step 5: Solve for x
    x = 112,742,020.85/15,838.74
  6. Step 6: Final answer
    x = 7,118.12

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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.