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Finding the Fourth Proportional to 13,413.68, 18,510.60 and 7,445

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Solution

The fourth proportional to 13,413.68, 18,510.60 and 7,445 is: 10,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.68 : 18,510.60 = 7,445 : x
  2. Step 2: Convert to fraction form
    13,413.68/18,510.60 = 7,445/x
  3. Step 3: Cross multiply
    13,413.68x = 18,510.60 × 7,445
  4. Step 4: Simplify right side
    13,413.68x = 137,811,417
  5. Step 5: Solve for x
    x = 137,811,417/13,413.68
  6. Step 6: Final answer
    x = 10,273.95

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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.