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Finding the Fourth Proportional to 15,413.44, 21,267.84 and 9,364

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Solution

The fourth proportional to 15,413.44, 21,267.84 and 9,364 is: 12,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.44 : 21,267.84 = 9,364 : x
  2. Step 2: Convert to fraction form
    15,413.44/21,267.84 = 9,364/x
  3. Step 3: Cross multiply
    15,413.44x = 21,267.84 × 9,364
  4. Step 4: Simplify right side
    15,413.44x = 199,152,053.76
  5. Step 5: Solve for x
    x = 199,152,053.76/15,413.44
  6. Step 6: Final answer
    x = 12,920.68

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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.