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Finding the Fourth Proportional to 14,427.78, 21,638.93 and 5,065.59

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Solution

The fourth proportional to 14,427.78, 21,638.93 and 5,065.59 is: 7,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.78 : 21,638.93 = 5,065.59 : x
  2. Step 2: Convert to fraction form
    14,427.78/21,638.93 = 5,065.59/x
  3. Step 3: Cross multiply
    14,427.78x = 21,638.93 × 5,065.59
  4. Step 4: Simplify right side
    14,427.78x = 109,613,947.42
  5. Step 5: Solve for x
    x = 109,613,947.42/14,427.78
  6. Step 6: Final answer
    x = 7,597.42

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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.