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Finding the Fourth Proportional to 14,564.72, 21,796.87 and 8,938.65

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Solution

The fourth proportional to 14,564.72, 21,796.87 and 8,938.65 is: 13,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.72 : 21,796.87 = 8,938.65 : x
  2. Step 2: Convert to fraction form
    14,564.72/21,796.87 = 8,938.65/x
  3. Step 3: Cross multiply
    14,564.72x = 21,796.87 × 8,938.65
  4. Step 4: Simplify right side
    14,564.72x = 194,834,592.03
  5. Step 5: Solve for x
    x = 194,834,592.03/14,564.72
  6. Step 6: Final answer
    x = 13,377.16

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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.