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Finding the Fourth Proportional to 15,858.24, 23,802.12 and 8,072.88

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Solution

The fourth proportional to 15,858.24, 23,802.12 and 8,072.88 is: 12,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.24 : 23,802.12 = 8,072.88 : x
  2. Step 2: Convert to fraction form
    15,858.24/23,802.12 = 8,072.88/x
  3. Step 3: Cross multiply
    15,858.24x = 23,802.12 × 8,072.88
  4. Step 4: Simplify right side
    15,858.24x = 192,151,658.51
  5. Step 5: Solve for x
    x = 192,151,658.51/15,858.24
  6. Step 6: Final answer
    x = 12,116.83

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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.