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Finding the Fourth Proportional to 13,133.41, 18,124.09 and 7,165.07

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Solution

The fourth proportional to 13,133.41, 18,124.09 and 7,165.07 is: 9,887.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.41 : 18,124.09 = 7,165.07 : x
  2. Step 2: Convert to fraction form
    13,133.41/18,124.09 = 7,165.07/x
  3. Step 3: Cross multiply
    13,133.41x = 18,124.09 × 7,165.07
  4. Step 4: Simplify right side
    13,133.41x = 129,860,373.54
  5. Step 5: Solve for x
    x = 129,860,373.54/13,133.41
  6. Step 6: Final answer
    x = 9,887.79

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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.