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Finding the Fourth Proportional to 20,602.08, 30,903.12 and 9,505.50

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Solution

The fourth proportional to 20,602.08, 30,903.12 and 9,505.50 is: 14,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602.08 : 30,903.12 = 9,505.50 : x
  2. Step 2: Convert to fraction form
    20,602.08/30,903.12 = 9,505.50/x
  3. Step 3: Cross multiply
    20,602.08x = 30,903.12 × 9,505.50
  4. Step 4: Simplify right side
    20,602.08x = 293,749,607.16
  5. Step 5: Solve for x
    x = 293,749,607.16/20,602.08
  6. Step 6: Final answer
    x = 14,258.25

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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.