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Finding the Fourth Proportional to 13,413.46, 18,509.64 and 7,362.76

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Solution

The fourth proportional to 13,413.46, 18,509.64 and 7,362.76 is: 10,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.46 : 18,509.64 = 7,362.76 : x
  2. Step 2: Convert to fraction form
    13,413.46/18,509.64 = 7,362.76/x
  3. Step 3: Cross multiply
    13,413.46x = 18,509.64 × 7,362.76
  4. Step 4: Simplify right side
    13,413.46x = 136,282,037.01
  5. Step 5: Solve for x
    x = 136,282,037.01/13,413.46
  6. Step 6: Final answer
    x = 10,160.10

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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.