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Finding the Fourth Proportional to 14,580.54, 21,869.73 and 5,817.42

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Solution

The fourth proportional to 14,580.54, 21,869.73 and 5,817.42 is: 8,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.54 : 21,869.73 = 5,817.42 : x
  2. Step 2: Convert to fraction form
    14,580.54/21,869.73 = 5,817.42/x
  3. Step 3: Cross multiply
    14,580.54x = 21,869.73 × 5,817.42
  4. Step 4: Simplify right side
    14,580.54x = 127,225,404.70
  5. Step 5: Solve for x
    x = 127,225,404.70/14,580.54
  6. Step 6: Final answer
    x = 8,725.70

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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.