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Finding the Fourth Proportional to 16,031.68, 24,047.93 and 7,596.20

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Solution

The fourth proportional to 16,031.68, 24,047.93 and 7,596.20 is: 11,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.68 : 24,047.93 = 7,596.20 : x
  2. Step 2: Convert to fraction form
    16,031.68/24,047.93 = 7,596.20/x
  3. Step 3: Cross multiply
    16,031.68x = 24,047.93 × 7,596.20
  4. Step 4: Simplify right side
    16,031.68x = 182,672,877.94
  5. Step 5: Solve for x
    x = 182,672,877.94/16,031.68
  6. Step 6: Final answer
    x = 11,394.50

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Why These Related Problems?

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