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Finding the Fourth Proportional to 22,530.50, 31,090.74 and 12,458.15

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Solution

The fourth proportional to 22,530.50, 31,090.74 and 12,458.15 is: 17,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.50 : 31,090.74 = 12,458.15 : x
  2. Step 2: Convert to fraction form
    22,530.50/31,090.74 = 12,458.15/x
  3. Step 3: Cross multiply
    22,530.50x = 31,090.74 × 12,458.15
  4. Step 4: Simplify right side
    22,530.50x = 387,332,947.08
  5. Step 5: Solve for x
    x = 387,332,947.08/22,530.50
  6. Step 6: Final answer
    x = 17,191.50

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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.