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Finding the Fourth Proportional to 14,586.98, 21,875.07 and 5,224.42

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Solution

The fourth proportional to 14,586.98, 21,875.07 and 5,224.42 is: 7,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.98 : 21,875.07 = 5,224.42 : x
  2. Step 2: Convert to fraction form
    14,586.98/21,875.07 = 5,224.42/x
  3. Step 3: Cross multiply
    14,586.98x = 21,875.07 × 5,224.42
  4. Step 4: Simplify right side
    14,586.98x = 114,284,553.21
  5. Step 5: Solve for x
    x = 114,284,553.21/14,586.98
  6. Step 6: Final answer
    x = 7,834.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.