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Finding the Fourth Proportional to 23,174.88, 31,980.06 and 13,102.74

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Solution

The fourth proportional to 23,174.88, 31,980.06 and 13,102.74 is: 18,081.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.88 : 31,980.06 = 13,102.74 : x
  2. Step 2: Convert to fraction form
    23,174.88/31,980.06 = 13,102.74/x
  3. Step 3: Cross multiply
    23,174.88x = 31,980.06 × 13,102.74
  4. Step 4: Simplify right side
    23,174.88x = 419,026,411.36
  5. Step 5: Solve for x
    x = 419,026,411.36/23,174.88
  6. Step 6: Final answer
    x = 18,081.06

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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.