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Finding the Fourth Proportional to 16,007.60, 23,980.80 and 8,609.60

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Solution

The fourth proportional to 16,007.60, 23,980.80 and 8,609.60 is: 12,897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.60 : 23,980.80 = 8,609.60 : x
  2. Step 2: Convert to fraction form
    16,007.60/23,980.80 = 8,609.60/x
  3. Step 3: Cross multiply
    16,007.60x = 23,980.80 × 8,609.60
  4. Step 4: Simplify right side
    16,007.60x = 206,465,095.68
  5. Step 5: Solve for x
    x = 206,465,095.68/16,007.60
  6. Step 6: Final answer
    x = 12,897.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.