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Finding the Fourth Proportional to 20,154.41, 30,214.30 and 7,005.07

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Solution

The fourth proportional to 20,154.41, 30,214.30 and 7,005.07 is: 10,501.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.41 : 30,214.30 = 7,005.07 : x
  2. Step 2: Convert to fraction form
    20,154.41/30,214.30 = 7,005.07/x
  3. Step 3: Cross multiply
    20,154.41x = 30,214.30 × 7,005.07
  4. Step 4: Simplify right side
    20,154.41x = 211,653,286.50
  5. Step 5: Solve for x
    x = 211,653,286.50/20,154.41
  6. Step 6: Final answer
    x = 10,501.59

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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.