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Finding the Fourth Proportional to 14,443.86, 21,625.74 and 7,408.74

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Solution

The fourth proportional to 14,443.86, 21,625.74 and 7,408.74 is: 11,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.86 : 21,625.74 = 7,408.74 : x
  2. Step 2: Convert to fraction form
    14,443.86/21,625.74 = 7,408.74/x
  3. Step 3: Cross multiply
    14,443.86x = 21,625.74 × 7,408.74
  4. Step 4: Simplify right side
    14,443.86x = 160,219,484.97
  5. Step 5: Solve for x
    x = 160,219,484.97/14,443.86
  6. Step 6: Final answer
    x = 11,092.57

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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.