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Finding the Fourth Proportional to 20,148.35, 30,205.20 and 6,999.01

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Solution

The fourth proportional to 20,148.35, 30,205.20 and 6,999.01 is: 10,492.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148.35 : 30,205.20 = 6,999.01 : x
  2. Step 2: Convert to fraction form
    20,148.35/30,205.20 = 6,999.01/x
  3. Step 3: Cross multiply
    20,148.35x = 30,205.20 × 6,999.01
  4. Step 4: Simplify right side
    20,148.35x = 211,406,447.59
  5. Step 5: Solve for x
    x = 211,406,447.59/20,148.35
  6. Step 6: Final answer
    x = 10,492.50

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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.