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Finding the Fourth Proportional to 23,533.05, 32,470.03 and 13,324.22

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Solution

The fourth proportional to 23,533.05, 32,470.03 and 13,324.22 is: 18,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.05 : 32,470.03 = 13,324.22 : x
  2. Step 2: Convert to fraction form
    23,533.05/32,470.03 = 13,324.22/x
  3. Step 3: Cross multiply
    23,533.05x = 32,470.03 × 13,324.22
  4. Step 4: Simplify right side
    23,533.05x = 432,637,823.13
  5. Step 5: Solve for x
    x = 432,637,823.13/23,533.05
  6. Step 6: Final answer
    x = 18,384.26

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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.