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Finding the Fourth Proportional to 16,413.66, 24,603.48 and 7,641.36

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Solution

The fourth proportional to 16,413.66, 24,603.48 and 7,641.36 is: 11,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.66 : 24,603.48 = 7,641.36 : x
  2. Step 2: Convert to fraction form
    16,413.66/24,603.48 = 7,641.36/x
  3. Step 3: Cross multiply
    16,413.66x = 24,603.48 × 7,641.36
  4. Step 4: Simplify right side
    16,413.66x = 188,004,047.93
  5. Step 5: Solve for x
    x = 188,004,047.93/16,413.66
  6. Step 6: Final answer
    x = 11,454.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.