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Finding the Fourth Proportional to 22,533.71, 31,095.59 and 12,324.59

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Solution

The fourth proportional to 22,533.71, 31,095.59 and 12,324.59 is: 17,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.71 : 31,095.59 = 12,324.59 : x
  2. Step 2: Convert to fraction form
    22,533.71/31,095.59 = 12,324.59/x
  3. Step 3: Cross multiply
    22,533.71x = 31,095.59 × 12,324.59
  4. Step 4: Simplify right side
    22,533.71x = 383,240,180.46
  5. Step 5: Solve for x
    x = 383,240,180.46/22,533.71
  6. Step 6: Final answer
    x = 17,007.41

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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.