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Finding the Fourth Proportional to 13,096.95, 18,072.42 and 7,646.22

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Solution

The fourth proportional to 13,096.95, 18,072.42 and 7,646.22 is: 10,550.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.95 : 18,072.42 = 7,646.22 : x
  2. Step 2: Convert to fraction form
    13,096.95/18,072.42 = 7,646.22/x
  3. Step 3: Cross multiply
    13,096.95x = 18,072.42 × 7,646.22
  4. Step 4: Simplify right side
    13,096.95x = 138,185,699.25
  5. Step 5: Solve for x
    x = 138,185,699.25/13,096.95
  6. Step 6: Final answer
    x = 10,550.98

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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.