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Finding the Fourth Proportional to 22,532.72, 31,095.36 and 12,460.64

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Solution

The fourth proportional to 22,532.72, 31,095.36 and 12,460.64 is: 17,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.72 : 31,095.36 = 12,460.64 : x
  2. Step 2: Convert to fraction form
    22,532.72/31,095.36 = 12,460.64/x
  3. Step 3: Cross multiply
    22,532.72x = 31,095.36 × 12,460.64
  4. Step 4: Simplify right side
    22,532.72x = 387,468,086.63
  5. Step 5: Solve for x
    x = 387,468,086.63/22,532.72
  6. Step 6: Final answer
    x = 17,195.80

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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.