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Finding the Fourth Proportional to 20,281.60, 30,412.68 and 10,415.80

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Solution

The fourth proportional to 20,281.60, 30,412.68 and 10,415.80 is: 15,618.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.60 : 30,412.68 = 10,415.80 : x
  2. Step 2: Convert to fraction form
    20,281.60/30,412.68 = 10,415.80/x
  3. Step 3: Cross multiply
    20,281.60x = 30,412.68 × 10,415.80
  4. Step 4: Simplify right side
    20,281.60x = 316,772,392.34
  5. Step 5: Solve for x
    x = 316,772,392.34/20,281.60
  6. Step 6: Final answer
    x = 15,618.71

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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.