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Finding the Fourth Proportional to 20,071.04, 30,108.99 and 9,675.50

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Solution

The fourth proportional to 20,071.04, 30,108.99 and 9,675.50 is: 14,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.04 : 30,108.99 = 9,675.50 : x
  2. Step 2: Convert to fraction form
    20,071.04/30,108.99 = 9,675.50/x
  3. Step 3: Cross multiply
    20,071.04x = 30,108.99 × 9,675.50
  4. Step 4: Simplify right side
    20,071.04x = 291,319,532.75
  5. Step 5: Solve for x
    x = 291,319,532.75/20,071.04
  6. Step 6: Final answer
    x = 14,514.42

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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.