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Finding the Fourth Proportional to 21,553.14, 32,327.79 and 7,510.78

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Solution

The fourth proportional to 21,553.14, 32,327.79 and 7,510.78 is: 11,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,553.14 : 32,327.79 = 7,510.78 : x
  2. Step 2: Convert to fraction form
    21,553.14/32,327.79 = 7,510.78/x
  3. Step 3: Cross multiply
    21,553.14x = 32,327.79 × 7,510.78
  4. Step 4: Simplify right side
    21,553.14x = 242,806,973.07
  5. Step 5: Solve for x
    x = 242,806,973.07/21,553.14
  6. Step 6: Final answer
    x = 11,265.50

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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.