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Finding the Fourth Proportional to 16,413.26, 24,491.80 and 14,646.10

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Solution

The fourth proportional to 16,413.26, 24,491.80 and 14,646.10 is: 21,854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.26 : 24,491.80 = 14,646.10 : x
  2. Step 2: Convert to fraction form
    16,413.26/24,491.80 = 14,646.10/x
  3. Step 3: Cross multiply
    16,413.26x = 24,491.80 × 14,646.10
  4. Step 4: Simplify right side
    16,413.26x = 358,709,351.98
  5. Step 5: Solve for x
    x = 358,709,351.98/16,413.26
  6. Step 6: Final answer
    x = 21,854.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.