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Finding the Fourth Proportional to 22,014.72, 33,031.68 and 9,532.80

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Solution

The fourth proportional to 22,014.72, 33,031.68 and 9,532.80 is: 14,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014.72 : 33,031.68 = 9,532.80 : x
  2. Step 2: Convert to fraction form
    22,014.72/33,031.68 = 9,532.80/x
  3. Step 3: Cross multiply
    22,014.72x = 33,031.68 × 9,532.80
  4. Step 4: Simplify right side
    22,014.72x = 314,884,399.10
  5. Step 5: Solve for x
    x = 314,884,399.10/22,014.72
  6. Step 6: Final answer
    x = 14,303.36

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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.