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Finding the Fourth Proportional to 13,413.83, 18,510.80 and 7,445.14

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Solution

The fourth proportional to 13,413.83, 18,510.80 and 7,445.14 is: 10,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.83 : 18,510.80 = 7,445.14 : x
  2. Step 2: Convert to fraction form
    13,413.83/18,510.80 = 7,445.14/x
  3. Step 3: Cross multiply
    13,413.83x = 18,510.80 × 7,445.14
  4. Step 4: Simplify right side
    13,413.83x = 137,815,497.51
  5. Step 5: Solve for x
    x = 137,815,497.51/13,413.83
  6. Step 6: Final answer
    x = 10,274.13

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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.