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Finding the Fourth Proportional to 16,551.84, 24,792.08 and 7,773.60

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Solution

The fourth proportional to 16,551.84, 24,792.08 and 7,773.60 is: 11,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,551.84 : 24,792.08 = 7,773.60 : x
  2. Step 2: Convert to fraction form
    16,551.84/24,792.08 = 7,773.60/x
  3. Step 3: Cross multiply
    16,551.84x = 24,792.08 × 7,773.60
  4. Step 4: Simplify right side
    16,551.84x = 192,723,713.09
  5. Step 5: Solve for x
    x = 192,723,713.09/16,551.84
  6. Step 6: Final answer
    x = 11,643.64

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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.