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Finding the Fourth Proportional to 20,218.50, 27,901.53 and 11,835

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Solution

The fourth proportional to 20,218.50, 27,901.53 and 11,835 is: 16,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.50 : 27,901.53 = 11,835 : x
  2. Step 2: Convert to fraction form
    20,218.50/27,901.53 = 11,835/x
  3. Step 3: Cross multiply
    20,218.50x = 27,901.53 × 11,835
  4. Step 4: Simplify right side
    20,218.50x = 330,214,607.55
  5. Step 5: Solve for x
    x = 330,214,607.55/20,218.50
  6. Step 6: Final answer
    x = 16,332.30

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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.