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Finding the Fourth Proportional to 14,126.81, 19,504.17 and 9,648.92

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Solution

The fourth proportional to 14,126.81, 19,504.17 and 9,648.92 is: 13,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,126.81 : 19,504.17 = 9,648.92 : x
  2. Step 2: Convert to fraction form
    14,126.81/19,504.17 = 9,648.92/x
  3. Step 3: Cross multiply
    14,126.81x = 19,504.17 × 9,648.92
  4. Step 4: Simplify right side
    14,126.81x = 188,194,176.00
  5. Step 5: Solve for x
    x = 188,194,176.00/14,126.81
  6. Step 6: Final answer
    x = 13,321.77

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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.