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Finding the Fourth Proportional to 23,108.04, 31,891.32 and 14,724

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Solution

The fourth proportional to 23,108.04, 31,891.32 and 14,724 is: 20,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,108.04 : 31,891.32 = 14,724 : x
  2. Step 2: Convert to fraction form
    23,108.04/31,891.32 = 14,724/x
  3. Step 3: Cross multiply
    23,108.04x = 31,891.32 × 14,724
  4. Step 4: Simplify right side
    23,108.04x = 469,567,795.68
  5. Step 5: Solve for x
    x = 469,567,795.68/23,108.04
  6. Step 6: Final answer
    x = 20,320.54

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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.