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Finding the Fourth Proportional to 23,064, 31,828.32 and 13,129.92

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Solution

The fourth proportional to 23,064, 31,828.32 and 13,129.92 is: 18,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064 : 31,828.32 = 13,129.92 : x
  2. Step 2: Convert to fraction form
    23,064/31,828.32 = 13,129.92/x
  3. Step 3: Cross multiply
    23,064x = 31,828.32 × 13,129.92
  4. Step 4: Simplify right side
    23,064x = 417,903,295.33
  5. Step 5: Solve for x
    x = 417,903,295.33/23,064
  6. Step 6: Final answer
    x = 18,119.29

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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.