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Finding the Fourth Proportional to 15,413.99, 21,271.14 and 8,340.26

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Solution

The fourth proportional to 15,413.99, 21,271.14 and 8,340.26 is: 11,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,413.99 : 21,271.14 = 8,340.26 : x
  2. Step 2: Convert to fraction form
    15,413.99/21,271.14 = 8,340.26/x
  3. Step 3: Cross multiply
    15,413.99x = 21,271.14 × 8,340.26
  4. Step 4: Simplify right side
    15,413.99x = 177,406,838.10
  5. Step 5: Solve for x
    x = 177,406,838.10/15,413.99
  6. Step 6: Final answer
    x = 11,509.47

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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.