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Finding the Fourth Proportional to 16,138.60, 24,207.90 and 10,277.80

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Solution

The fourth proportional to 16,138.60, 24,207.90 and 10,277.80 is: 15,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.60 : 24,207.90 = 10,277.80 : x
  2. Step 2: Convert to fraction form
    16,138.60/24,207.90 = 10,277.80/x
  3. Step 3: Cross multiply
    16,138.60x = 24,207.90 × 10,277.80
  4. Step 4: Simplify right side
    16,138.60x = 248,803,954.62
  5. Step 5: Solve for x
    x = 248,803,954.62/16,138.60
  6. Step 6: Final answer
    x = 15,416.70

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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.