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Finding the Fourth Proportional to 21,374.28, 32,059.80 and 7,513.56

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Solution

The fourth proportional to 21,374.28, 32,059.80 and 7,513.56 is: 11,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,374.28 : 32,059.80 = 7,513.56 : x
  2. Step 2: Convert to fraction form
    21,374.28/32,059.80 = 7,513.56/x
  3. Step 3: Cross multiply
    21,374.28x = 32,059.80 × 7,513.56
  4. Step 4: Simplify right side
    21,374.28x = 240,883,230.89
  5. Step 5: Solve for x
    x = 240,883,230.89/21,374.28
  6. Step 6: Final answer
    x = 11,269.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.