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Finding the Fourth Proportional to 16,137.60, 24,206.40 and 7,389.60

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Solution

The fourth proportional to 16,137.60, 24,206.40 and 7,389.60 is: 11,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.60 : 24,206.40 = 7,389.60 : x
  2. Step 2: Convert to fraction form
    16,137.60/24,206.40 = 7,389.60/x
  3. Step 3: Cross multiply
    16,137.60x = 24,206.40 × 7,389.60
  4. Step 4: Simplify right side
    16,137.60x = 178,875,613.44
  5. Step 5: Solve for x
    x = 178,875,613.44/16,137.60
  6. Step 6: Final answer
    x = 11,084.40

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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.