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Finding the Fourth Proportional to 14,398.08, 19,868.16 and 8,112

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Solution

The fourth proportional to 14,398.08, 19,868.16 and 8,112 is: 11,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.08 : 19,868.16 = 8,112 : x
  2. Step 2: Convert to fraction form
    14,398.08/19,868.16 = 8,112/x
  3. Step 3: Cross multiply
    14,398.08x = 19,868.16 × 8,112
  4. Step 4: Simplify right side
    14,398.08x = 161,170,513.92
  5. Step 5: Solve for x
    x = 161,170,513.92/14,398.08
  6. Step 6: Final answer
    x = 11,193.89

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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.