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Finding the Fourth Proportional to 20,130, 27,779.40 and 11,744.88

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Solution

The fourth proportional to 20,130, 27,779.40 and 11,744.88 is: 16,207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 27,779.40 = 11,744.88 : x
  2. Step 2: Convert to fraction form
    20,130/27,779.40 = 11,744.88/x
  3. Step 3: Cross multiply
    20,130x = 27,779.40 × 11,744.88
  4. Step 4: Simplify right side
    20,130x = 326,265,719.47
  5. Step 5: Solve for x
    x = 326,265,719.47/20,130
  6. Step 6: Final answer
    x = 16,207.93

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