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Finding the Fourth Proportional to 18,415.68, 25,413.48 and 10,032

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Solution

The fourth proportional to 18,415.68, 25,413.48 and 10,032 is: 13,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.68 : 25,413.48 = 10,032 : x
  2. Step 2: Convert to fraction form
    18,415.68/25,413.48 = 10,032/x
  3. Step 3: Cross multiply
    18,415.68x = 25,413.48 × 10,032
  4. Step 4: Simplify right side
    18,415.68x = 254,948,031.36
  5. Step 5: Solve for x
    x = 254,948,031.36/18,415.68
  6. Step 6: Final answer
    x = 13,844.07

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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.