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Finding the Fourth Proportional to 14,560.19, 21,848.54 and 7,896.87

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Solution

The fourth proportional to 14,560.19, 21,848.54 and 7,896.87 is: 11,849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.19 : 21,848.54 = 7,896.87 : x
  2. Step 2: Convert to fraction form
    14,560.19/21,848.54 = 7,896.87/x
  3. Step 3: Cross multiply
    14,560.19x = 21,848.54 × 7,896.87
  4. Step 4: Simplify right side
    14,560.19x = 172,535,040.59
  5. Step 5: Solve for x
    x = 172,535,040.59/14,560.19
  6. Step 6: Final answer
    x = 11,849.78

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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.