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Finding the Fourth Proportional to 22,533.47, 31,093.45 and 12,460.54

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Solution

The fourth proportional to 22,533.47, 31,093.45 and 12,460.54 is: 17,194.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.47 : 31,093.45 = 12,460.54 : x
  2. Step 2: Convert to fraction form
    22,533.47/31,093.45 = 12,460.54/x
  3. Step 3: Cross multiply
    22,533.47x = 31,093.45 × 12,460.54
  4. Step 4: Simplify right side
    22,533.47x = 387,441,177.46
  5. Step 5: Solve for x
    x = 387,441,177.46/22,533.47
  6. Step 6: Final answer
    x = 17,194.03

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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.