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Finding the Fourth Proportional to 13,076.98, 18,046.23 and 7,108.63

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Solution

The fourth proportional to 13,076.98, 18,046.23 and 7,108.63 is: 9,809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.98 : 18,046.23 = 7,108.63 : x
  2. Step 2: Convert to fraction form
    13,076.98/18,046.23 = 7,108.63/x
  3. Step 3: Cross multiply
    13,076.98x = 18,046.23 × 7,108.63
  4. Step 4: Simplify right side
    13,076.98x = 128,283,971.96
  5. Step 5: Solve for x
    x = 128,283,971.96/13,076.98
  6. Step 6: Final answer
    x = 9,809.91

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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.