Home / 20,824-31,240.08-10,435.78

Finding the Fourth Proportional to 20,824, 31,240.08 and 10,435.78

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Solution

The fourth proportional to 20,824, 31,240.08 and 10,435.78 is: 15,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824 : 31,240.08 = 10,435.78 : x
  2. Step 2: Convert to fraction form
    20,824/31,240.08 = 10,435.78/x
  3. Step 3: Cross multiply
    20,824x = 31,240.08 × 10,435.78
  4. Step 4: Simplify right side
    20,824x = 326,014,602.06
  5. Step 5: Solve for x
    x = 326,014,602.06/20,824
  6. Step 6: Final answer
    x = 15,655.71

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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.