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Finding the Fourth Proportional to 15,806.70, 23,709.80 and 4,713.44

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Solution

The fourth proportional to 15,806.70, 23,709.80 and 4,713.44 is: 7,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.70 : 23,709.80 = 4,713.44 : x
  2. Step 2: Convert to fraction form
    15,806.70/23,709.80 = 4,713.44/x
  3. Step 3: Cross multiply
    15,806.70x = 23,709.80 × 4,713.44
  4. Step 4: Simplify right side
    15,806.70x = 111,754,577.60
  5. Step 5: Solve for x
    x = 111,754,577.60/15,806.70
  6. Step 6: Final answer
    x = 7,070.08

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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.