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Finding the Fourth Proportional to 14,549.69, 21,817.62 and 6,649.89

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Solution

The fourth proportional to 14,549.69, 21,817.62 and 6,649.89 is: 9,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.69 : 21,817.62 = 6,649.89 : x
  2. Step 2: Convert to fraction form
    14,549.69/21,817.62 = 6,649.89/x
  3. Step 3: Cross multiply
    14,549.69x = 21,817.62 × 6,649.89
  4. Step 4: Simplify right side
    14,549.69x = 145,084,773.06
  5. Step 5: Solve for x
    x = 145,084,773.06/14,549.69
  6. Step 6: Final answer
    x = 9,971.68

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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.