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Finding the Fourth Proportional to 13,365, 18,442.16 and 7,395.84

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Solution

The fourth proportional to 13,365, 18,442.16 and 7,395.84 is: 10,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,365 : 18,442.16 = 7,395.84 : x
  2. Step 2: Convert to fraction form
    13,365/18,442.16 = 7,395.84/x
  3. Step 3: Cross multiply
    13,365x = 18,442.16 × 7,395.84
  4. Step 4: Simplify right side
    13,365x = 136,395,264.61
  5. Step 5: Solve for x
    x = 136,395,264.61/13,365
  6. Step 6: Final answer
    x = 10,205.41

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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.