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Finding the Fourth Proportional to 22,533.10, 31,092.94 and 12,460.16

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Solution

The fourth proportional to 22,533.10, 31,092.94 and 12,460.16 is: 17,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.10 : 31,092.94 = 12,460.16 : x
  2. Step 2: Convert to fraction form
    22,533.10/31,092.94 = 12,460.16/x
  3. Step 3: Cross multiply
    22,533.10x = 31,092.94 × 12,460.16
  4. Step 4: Simplify right side
    22,533.10x = 387,423,007.27
  5. Step 5: Solve for x
    x = 387,423,007.27/22,533.10
  6. Step 6: Final answer
    x = 17,193.51

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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.