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Finding the Fourth Proportional to 22,604.69, 31,194.32 and 12,533.13

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Solution

The fourth proportional to 22,604.69, 31,194.32 and 12,533.13 is: 17,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.69 : 31,194.32 = 12,533.13 : x
  2. Step 2: Convert to fraction form
    22,604.69/31,194.32 = 12,533.13/x
  3. Step 3: Cross multiply
    22,604.69x = 31,194.32 × 12,533.13
  4. Step 4: Simplify right side
    22,604.69x = 390,962,467.82
  5. Step 5: Solve for x
    x = 390,962,467.82/22,604.69
  6. Step 6: Final answer
    x = 17,295.64

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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.