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Finding the Fourth Proportional to 15,806.08, 23,713 and 4,712.72

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Solution

The fourth proportional to 15,806.08, 23,713 and 4,712.72 is: 7,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.08 : 23,713 = 4,712.72 : x
  2. Step 2: Convert to fraction form
    15,806.08/23,713 = 4,712.72/x
  3. Step 3: Cross multiply
    15,806.08x = 23,713 × 4,712.72
  4. Step 4: Simplify right side
    15,806.08x = 111,752,729.36
  5. Step 5: Solve for x
    x = 111,752,729.36/15,806.08
  6. Step 6: Final answer
    x = 7,070.24

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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.