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Finding the Fourth Proportional to 18,415.14, 25,413.06 and 10,031.64

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Solution

The fourth proportional to 18,415.14, 25,413.06 and 10,031.64 is: 13,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415.14 : 25,413.06 = 10,031.64 : x
  2. Step 2: Convert to fraction form
    18,415.14/25,413.06 = 10,031.64/x
  3. Step 3: Cross multiply
    18,415.14x = 25,413.06 × 10,031.64
  4. Step 4: Simplify right side
    18,415.14x = 254,934,669.22
  5. Step 5: Solve for x
    x = 254,934,669.22/18,415.14
  6. Step 6: Final answer
    x = 13,843.75

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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.