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Finding the Fourth Proportional to 20,549.58, 30,873.60 and 13,168.50

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Solution

The fourth proportional to 20,549.58, 30,873.60 and 13,168.50 is: 19,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.58 : 30,873.60 = 13,168.50 : x
  2. Step 2: Convert to fraction form
    20,549.58/30,873.60 = 13,168.50/x
  3. Step 3: Cross multiply
    20,549.58x = 30,873.60 × 13,168.50
  4. Step 4: Simplify right side
    20,549.58x = 406,559,001.60
  5. Step 5: Solve for x
    x = 406,559,001.60/20,549.58
  6. Step 6: Final answer
    x = 19,784.30

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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.