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Finding the Fourth Proportional to 20,009.16, 30,007.38 and 8,319.50

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Solution

The fourth proportional to 20,009.16, 30,007.38 and 8,319.50 is: 12,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.16 : 30,007.38 = 8,319.50 : x
  2. Step 2: Convert to fraction form
    20,009.16/30,007.38 = 8,319.50/x
  3. Step 3: Cross multiply
    20,009.16x = 30,007.38 × 8,319.50
  4. Step 4: Simplify right side
    20,009.16x = 249,646,397.91
  5. Step 5: Solve for x
    x = 249,646,397.91/20,009.16
  6. Step 6: Final answer
    x = 12,476.61

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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.