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Finding the Fourth Proportional to 13,784.77, 20,677.56 and 5,026.24

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Solution

The fourth proportional to 13,784.77, 20,677.56 and 5,026.24 is: 7,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.77 : 20,677.56 = 5,026.24 : x
  2. Step 2: Convert to fraction form
    13,784.77/20,677.56 = 5,026.24/x
  3. Step 3: Cross multiply
    13,784.77x = 20,677.56 × 5,026.24
  4. Step 4: Simplify right side
    13,784.77x = 103,930,379.17
  5. Step 5: Solve for x
    x = 103,930,379.17/13,784.77
  6. Step 6: Final answer
    x = 7,539.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.