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Finding the Fourth Proportional to 15,747.72, 21,730.05 and 9,031.50

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Solution

The fourth proportional to 15,747.72, 21,730.05 and 9,031.50 is: 12,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747.72 : 21,730.05 = 9,031.50 : x
  2. Step 2: Convert to fraction form
    15,747.72/21,730.05 = 9,031.50/x
  3. Step 3: Cross multiply
    15,747.72x = 21,730.05 × 9,031.50
  4. Step 4: Simplify right side
    15,747.72x = 196,254,946.58
  5. Step 5: Solve for x
    x = 196,254,946.58/15,747.72
  6. Step 6: Final answer
    x = 12,462.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.