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Finding the Fourth Proportional to 20,097.60, 30,088.80 and 17,793.60

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Solution

The fourth proportional to 20,097.60, 30,088.80 and 17,793.60 is: 26,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.60 : 30,088.80 = 17,793.60 : x
  2. Step 2: Convert to fraction form
    20,097.60/30,088.80 = 17,793.60/x
  3. Step 3: Cross multiply
    20,097.60x = 30,088.80 × 17,793.60
  4. Step 4: Simplify right side
    20,097.60x = 535,388,071.68
  5. Step 5: Solve for x
    x = 535,388,071.68/20,097.60
  6. Step 6: Final answer
    x = 26,639.40

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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.