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Finding the Fourth Proportional to 16,408.50, 22,643.74 and 10,124.52

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Solution

The fourth proportional to 16,408.50, 22,643.74 and 10,124.52 is: 13,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.50 : 22,643.74 = 10,124.52 : x
  2. Step 2: Convert to fraction form
    16,408.50/22,643.74 = 10,124.52/x
  3. Step 3: Cross multiply
    16,408.50x = 22,643.74 × 10,124.52
  4. Step 4: Simplify right side
    16,408.50x = 229,256,998.50
  5. Step 5: Solve for x
    x = 229,256,998.50/16,408.50
  6. Step 6: Final answer
    x = 13,971.84

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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.