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Finding the Fourth Proportional to 14,778.96, 22,168.56 and 10,416

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Solution

The fourth proportional to 14,778.96, 22,168.56 and 10,416 is: 15,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.96 : 22,168.56 = 10,416 : x
  2. Step 2: Convert to fraction form
    14,778.96/22,168.56 = 10,416/x
  3. Step 3: Cross multiply
    14,778.96x = 22,168.56 × 10,416
  4. Step 4: Simplify right side
    14,778.96x = 230,907,720.96
  5. Step 5: Solve for x
    x = 230,907,720.96/14,778.96
  6. Step 6: Final answer
    x = 15,624.08

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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.