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Finding the Fourth Proportional to 16,209.77, 22,376.95 and 11,433.61

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Solution

The fourth proportional to 16,209.77, 22,376.95 and 11,433.61 is: 15,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.77 : 22,376.95 = 11,433.61 : x
  2. Step 2: Convert to fraction form
    16,209.77/22,376.95 = 11,433.61/x
  3. Step 3: Cross multiply
    16,209.77x = 22,376.95 × 11,433.61
  4. Step 4: Simplify right side
    16,209.77x = 255,849,207.40
  5. Step 5: Solve for x
    x = 255,849,207.40/16,209.77
  6. Step 6: Final answer
    x = 15,783.64

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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.