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Finding the Fourth Proportional to 14,588.80, 21,894.72 and 5,357.44

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Solution

The fourth proportional to 14,588.80, 21,894.72 and 5,357.44 is: 8,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.80 : 21,894.72 = 5,357.44 : x
  2. Step 2: Convert to fraction form
    14,588.80/21,894.72 = 5,357.44/x
  3. Step 3: Cross multiply
    14,588.80x = 21,894.72 × 5,357.44
  4. Step 4: Simplify right side
    14,588.80x = 117,299,648.72
  5. Step 5: Solve for x
    x = 117,299,648.72/14,588.80
  6. Step 6: Final answer
    x = 8,040.39

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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.