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Finding the Fourth Proportional to 16,165.10, 22,282.40 and 14,809.16

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Solution

The fourth proportional to 16,165.10, 22,282.40 and 14,809.16 is: 20,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.10 : 22,282.40 = 14,809.16 : x
  2. Step 2: Convert to fraction form
    16,165.10/22,282.40 = 14,809.16/x
  3. Step 3: Cross multiply
    16,165.10x = 22,282.40 × 14,809.16
  4. Step 4: Simplify right side
    16,165.10x = 329,983,626.78
  5. Step 5: Solve for x
    x = 329,983,626.78/16,165.10
  6. Step 6: Final answer
    x = 20,413.34

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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.