Home / 20,977.60-31,462.80-7,823.20

Finding the Fourth Proportional to 20,977.60, 31,462.80 and 7,823.20

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Solution

The fourth proportional to 20,977.60, 31,462.80 and 7,823.20 is: 11,733.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.60 : 31,462.80 = 7,823.20 : x
  2. Step 2: Convert to fraction form
    20,977.60/31,462.80 = 7,823.20/x
  3. Step 3: Cross multiply
    20,977.60x = 31,462.80 × 7,823.20
  4. Step 4: Simplify right side
    20,977.60x = 246,139,776.96
  5. Step 5: Solve for x
    x = 246,139,776.96/20,977.60
  6. Step 6: Final answer
    x = 11,733.46

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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.