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Finding the Fourth Proportional to 16,031.88, 24,051.24 and 9,462.96

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Solution

The fourth proportional to 16,031.88, 24,051.24 and 9,462.96 is: 14,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.88 : 24,051.24 = 9,462.96 : x
  2. Step 2: Convert to fraction form
    16,031.88/24,051.24 = 9,462.96/x
  3. Step 3: Cross multiply
    16,031.88x = 24,051.24 × 9,462.96
  4. Step 4: Simplify right side
    16,031.88x = 227,595,922.07
  5. Step 5: Solve for x
    x = 227,595,922.07/16,031.88
  6. Step 6: Final answer
    x = 14,196.46

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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.