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Finding the Fourth Proportional to 14,749, 20,353.62 and 8,125

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Solution

The fourth proportional to 14,749, 20,353.62 and 8,125 is: 11,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749 : 20,353.62 = 8,125 : x
  2. Step 2: Convert to fraction form
    14,749/20,353.62 = 8,125/x
  3. Step 3: Cross multiply
    14,749x = 20,353.62 × 8,125
  4. Step 4: Simplify right side
    14,749x = 165,373,162.50
  5. Step 5: Solve for x
    x = 165,373,162.50/14,749
  6. Step 6: Final answer
    x = 11,212.50

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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.