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Finding the Fourth Proportional to 20,077.50, 27,710.80 and 11,585.10

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Solution

The fourth proportional to 20,077.50, 27,710.80 and 11,585.10 is: 15,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.50 : 27,710.80 = 11,585.10 : x
  2. Step 2: Convert to fraction form
    20,077.50/27,710.80 = 11,585.10/x
  3. Step 3: Cross multiply
    20,077.50x = 27,710.80 × 11,585.10
  4. Step 4: Simplify right side
    20,077.50x = 321,032,389.08
  5. Step 5: Solve for x
    x = 321,032,389.08/20,077.50
  6. Step 6: Final answer
    x = 15,989.66

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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.