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Finding the Fourth Proportional to 21,152.47, 31,729.06 and 8,011.03

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Solution

The fourth proportional to 21,152.47, 31,729.06 and 8,011.03 is: 12,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.47 : 31,729.06 = 8,011.03 : x
  2. Step 2: Convert to fraction form
    21,152.47/31,729.06 = 8,011.03/x
  3. Step 3: Cross multiply
    21,152.47x = 31,729.06 × 8,011.03
  4. Step 4: Simplify right side
    21,152.47x = 254,182,451.53
  5. Step 5: Solve for x
    x = 254,182,451.53/21,152.47
  6. Step 6: Final answer
    x = 12,016.68

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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.