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Finding the Fourth Proportional to 16,413.84, 24,626.43 and 9,008.82

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Solution

The fourth proportional to 16,413.84, 24,626.43 and 9,008.82 is: 13,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.84 : 24,626.43 = 9,008.82 : x
  2. Step 2: Convert to fraction form
    16,413.84/24,626.43 = 9,008.82/x
  3. Step 3: Cross multiply
    16,413.84x = 24,626.43 × 9,008.82
  4. Step 4: Simplify right side
    16,413.84x = 221,855,075.11
  5. Step 5: Solve for x
    x = 221,855,075.11/16,413.84
  6. Step 6: Final answer
    x = 13,516.34

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1.5x scale

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.