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Finding the Fourth Proportional to 22,509.77, 31,056.01 and 13,553.87

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Solution

The fourth proportional to 22,509.77, 31,056.01 and 13,553.87 is: 18,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.77 : 31,056.01 = 13,553.87 : x
  2. Step 2: Convert to fraction form
    22,509.77/31,056.01 = 13,553.87/x
  3. Step 3: Cross multiply
    22,509.77x = 31,056.01 × 13,553.87
  4. Step 4: Simplify right side
    22,509.77x = 420,928,933.09
  5. Step 5: Solve for x
    x = 420,928,933.09/22,509.77
  6. Step 6: Final answer
    x = 18,699.84

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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.