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Finding the Fourth Proportional to 16,580.79, 22,872.93 and 10,282.23

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Solution

The fourth proportional to 16,580.79, 22,872.93 and 10,282.23 is: 14,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.79 : 22,872.93 = 10,282.23 : x
  2. Step 2: Convert to fraction form
    16,580.79/22,872.93 = 10,282.23/x
  3. Step 3: Cross multiply
    16,580.79x = 22,872.93 × 10,282.23
  4. Step 4: Simplify right side
    16,580.79x = 235,184,727.03
  5. Step 5: Solve for x
    x = 235,184,727.03/16,580.79
  6. Step 6: Final answer
    x = 14,184.17

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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.