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Finding the Fourth Proportional to 15,802.83, 23,704.23 and 4,709.24

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Solution

The fourth proportional to 15,802.83, 23,704.23 and 4,709.24 is: 7,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.83 : 23,704.23 = 4,709.24 : x
  2. Step 2: Convert to fraction form
    15,802.83/23,704.23 = 4,709.24/x
  3. Step 3: Cross multiply
    15,802.83x = 23,704.23 × 4,709.24
  4. Step 4: Simplify right side
    15,802.83x = 111,628,869.63
  5. Step 5: Solve for x
    x = 111,628,869.63/15,802.83
  6. Step 6: Final answer
    x = 7,063.85

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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.