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Finding the Fourth Proportional to 12,156.72, 18,203.52 and 10,412.91

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Solution

The fourth proportional to 12,156.72, 18,203.52 and 10,412.91 is: 15,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.72 : 18,203.52 = 10,412.91 : x
  2. Step 2: Convert to fraction form
    12,156.72/18,203.52 = 10,412.91/x
  3. Step 3: Cross multiply
    12,156.72x = 18,203.52 × 10,412.91
  4. Step 4: Simplify right side
    12,156.72x = 189,551,615.44
  5. Step 5: Solve for x
    x = 189,551,615.44/12,156.72
  6. Step 6: Final answer
    x = 15,592.33

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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.