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Finding the Fourth Proportional to 14,142.84, 21,196.84 and 5,817.66

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Solution

The fourth proportional to 14,142.84, 21,196.84 and 5,817.66 is: 8,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.84 : 21,196.84 = 5,817.66 : x
  2. Step 2: Convert to fraction form
    14,142.84/21,196.84 = 5,817.66/x
  3. Step 3: Cross multiply
    14,142.84x = 21,196.84 × 5,817.66
  4. Step 4: Simplify right side
    14,142.84x = 123,316,008.19
  5. Step 5: Solve for x
    x = 123,316,008.19/14,142.84
  6. Step 6: Final answer
    x = 8,719.32

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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.