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Finding the Fourth Proportional to 22,937.94, 31,656.69 and 13,509.54

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Solution

The fourth proportional to 22,937.94, 31,656.69 and 13,509.54 is: 18,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.94 : 31,656.69 = 13,509.54 : x
  2. Step 2: Convert to fraction form
    22,937.94/31,656.69 = 13,509.54/x
  3. Step 3: Cross multiply
    22,937.94x = 31,656.69 × 13,509.54
  4. Step 4: Simplify right side
    22,937.94x = 427,667,319.82
  5. Step 5: Solve for x
    x = 427,667,319.82/22,937.94
  6. Step 6: Final answer
    x = 18,644.54

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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.