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Finding the Fourth Proportional to 15,806.34, 23,709.24 and 4,713.06

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Solution

The fourth proportional to 15,806.34, 23,709.24 and 4,713.06 is: 7,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.34 : 23,709.24 = 4,713.06 : x
  2. Step 2: Convert to fraction form
    15,806.34/23,709.24 = 4,713.06/x
  3. Step 3: Cross multiply
    15,806.34x = 23,709.24 × 4,713.06
  4. Step 4: Simplify right side
    15,806.34x = 111,743,070.67
  5. Step 5: Solve for x
    x = 111,743,070.67/15,806.34
  6. Step 6: Final answer
    x = 7,069.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.