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Finding the Fourth Proportional to 14,227.69, 21,341.54 and 5,457.82

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Solution

The fourth proportional to 14,227.69, 21,341.54 and 5,457.82 is: 8,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.69 : 21,341.54 = 5,457.82 : x
  2. Step 2: Convert to fraction form
    14,227.69/21,341.54 = 5,457.82/x
  3. Step 3: Cross multiply
    14,227.69x = 21,341.54 × 5,457.82
  4. Step 4: Simplify right side
    14,227.69x = 116,478,283.84
  5. Step 5: Solve for x
    x = 116,478,283.84/14,227.69
  6. Step 6: Final answer
    x = 8,186.73

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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.