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Finding the Fourth Proportional to 14,545.50, 21,817.81 and 4,016.16

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Solution

The fourth proportional to 14,545.50, 21,817.81 and 4,016.16 is: 6,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.50 : 21,817.81 = 4,016.16 : x
  2. Step 2: Convert to fraction form
    14,545.50/21,817.81 = 4,016.16/x
  3. Step 3: Cross multiply
    14,545.50x = 21,817.81 × 4,016.16
  4. Step 4: Simplify right side
    14,545.50x = 87,623,805.77
  5. Step 5: Solve for x
    x = 87,623,805.77/14,545.50
  6. Step 6: Final answer
    x = 6,024.12

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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.