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Finding the Fourth Proportional to 21,434.74, 32,172.84 and 10,349.21

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Solution

The fourth proportional to 21,434.74, 32,172.84 and 10,349.21 is: 15,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.74 : 32,172.84 = 10,349.21 : x
  2. Step 2: Convert to fraction form
    21,434.74/32,172.84 = 10,349.21/x
  3. Step 3: Cross multiply
    21,434.74x = 32,172.84 × 10,349.21
  4. Step 4: Simplify right side
    21,434.74x = 332,963,557.89
  5. Step 5: Solve for x
    x = 332,963,557.89/21,434.74
  6. Step 6: Final answer
    x = 15,533.83

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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.