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Finding the Fourth Proportional to 21,380.76, 32,071.70 and 10,133.46

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Solution

The fourth proportional to 21,380.76, 32,071.70 and 10,133.46 is: 15,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.76 : 32,071.70 = 10,133.46 : x
  2. Step 2: Convert to fraction form
    21,380.76/32,071.70 = 10,133.46/x
  3. Step 3: Cross multiply
    21,380.76x = 32,071.70 × 10,133.46
  4. Step 4: Simplify right side
    21,380.76x = 324,997,238.41
  5. Step 5: Solve for x
    x = 324,997,238.41/21,380.76
  6. Step 6: Final answer
    x = 15,200.45

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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.