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Finding the Fourth Proportional to 13,342.08, 18,413.76 and 7,752

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Solution

The fourth proportional to 13,342.08, 18,413.76 and 7,752 is: 10,698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.08 : 18,413.76 = 7,752 : x
  2. Step 2: Convert to fraction form
    13,342.08/18,413.76 = 7,752/x
  3. Step 3: Cross multiply
    13,342.08x = 18,413.76 × 7,752
  4. Step 4: Simplify right side
    13,342.08x = 142,743,467.52
  5. Step 5: Solve for x
    x = 142,743,467.52/13,342.08
  6. Step 6: Final answer
    x = 10,698.74

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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.