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Finding the Fourth Proportional to 14,109.96, 19,472.12 and 7,977.18

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Solution

The fourth proportional to 14,109.96, 19,472.12 and 7,977.18 is: 11,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.96 : 19,472.12 = 7,977.18 : x
  2. Step 2: Convert to fraction form
    14,109.96/19,472.12 = 7,977.18/x
  3. Step 3: Cross multiply
    14,109.96x = 19,472.12 × 7,977.18
  4. Step 4: Simplify right side
    14,109.96x = 155,332,559.74
  5. Step 5: Solve for x
    x = 155,332,559.74/14,109.96
  6. Step 6: Final answer
    x = 11,008.71

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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.