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Finding the Fourth Proportional to 13,343.00, 18,413.53 and 7,754.00

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Solution

The fourth proportional to 13,343.00, 18,413.53 and 7,754.00 is: 10,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.00 : 18,413.53 = 7,754.00 : x
  2. Step 2: Convert to fraction form
    13,343.00/18,413.53 = 7,754.00/x
  3. Step 3: Cross multiply
    13,343.00x = 18,413.53 × 7,754.00
  4. Step 4: Simplify right side
    13,343.00x = 142,778,400.17
  5. Step 5: Solve for x
    x = 142,778,400.17/13,343.00
  6. Step 6: Final answer
    x = 10,700.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.