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Finding the Fourth Proportional to 20,130.71, 27,779.84 and 11,177.98

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Solution

The fourth proportional to 20,130.71, 27,779.84 and 11,177.98 is: 15,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.71 : 27,779.84 = 11,177.98 : x
  2. Step 2: Convert to fraction form
    20,130.71/27,779.84 = 11,177.98/x
  3. Step 3: Cross multiply
    20,130.71x = 27,779.84 × 11,177.98
  4. Step 4: Simplify right side
    20,130.71x = 310,522,475.38
  5. Step 5: Solve for x
    x = 310,522,475.38/20,130.71
  6. Step 6: Final answer
    x = 15,425.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.