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Finding the Fourth Proportional to 21,196.95, 31,800.42 and 6,405.99

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Solution

The fourth proportional to 21,196.95, 31,800.42 and 6,405.99 is: 9,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.95 : 31,800.42 = 6,405.99 : x
  2. Step 2: Convert to fraction form
    21,196.95/31,800.42 = 6,405.99/x
  3. Step 3: Cross multiply
    21,196.95x = 31,800.42 × 6,405.99
  4. Step 4: Simplify right side
    21,196.95x = 203,713,172.52
  5. Step 5: Solve for x
    x = 203,713,172.52/21,196.95
  6. Step 6: Final answer
    x = 9,610.49

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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.