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Finding the Fourth Proportional to 21,100.50, 31,602.29 and 10,538.10

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Solution

The fourth proportional to 21,100.50, 31,602.29 and 10,538.10 is: 15,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100.50 : 31,602.29 = 10,538.10 : x
  2. Step 2: Convert to fraction form
    21,100.50/31,602.29 = 10,538.10/x
  3. Step 3: Cross multiply
    21,100.50x = 31,602.29 × 10,538.10
  4. Step 4: Simplify right side
    21,100.50x = 333,028,039.56
  5. Step 5: Solve for x
    x = 333,028,039.56/21,100.50
  6. Step 6: Final answer
    x = 15,782.95

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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.