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Finding the Fourth Proportional to 22,530.86, 31,093.24 and 12,322.50

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Solution

The fourth proportional to 22,530.86, 31,093.24 and 12,322.50 is: 17,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.86 : 31,093.24 = 12,322.50 : x
  2. Step 2: Convert to fraction form
    22,530.86/31,093.24 = 12,322.50/x
  3. Step 3: Cross multiply
    22,530.86x = 31,093.24 × 12,322.50
  4. Step 4: Simplify right side
    22,530.86x = 383,146,449.90
  5. Step 5: Solve for x
    x = 383,146,449.90/22,530.86
  6. Step 6: Final answer
    x = 17,005.41

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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.