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Finding the Fourth Proportional to 14,266.37, 19,688.18 and 7,892.86

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Solution

The fourth proportional to 14,266.37, 19,688.18 and 7,892.86 is: 10,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.37 : 19,688.18 = 7,892.86 : x
  2. Step 2: Convert to fraction form
    14,266.37/19,688.18 = 7,892.86/x
  3. Step 3: Cross multiply
    14,266.37x = 19,688.18 × 7,892.86
  4. Step 4: Simplify right side
    14,266.37x = 155,395,910.49
  5. Step 5: Solve for x
    x = 155,395,910.49/14,266.37
  6. Step 6: Final answer
    x = 10,892.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.