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Finding the Fourth Proportional to 22,604.73, 31,194.75 and 12,533.32

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Solution

The fourth proportional to 22,604.73, 31,194.75 and 12,533.32 is: 17,296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.73 : 31,194.75 = 12,533.32 : x
  2. Step 2: Convert to fraction form
    22,604.73/31,194.75 = 12,533.32/x
  3. Step 3: Cross multiply
    22,604.73x = 31,194.75 × 12,533.32
  4. Step 4: Simplify right side
    22,604.73x = 390,973,784.07
  5. Step 5: Solve for x
    x = 390,973,784.07/22,604.73
  6. Step 6: Final answer
    x = 17,296.11

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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.