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Finding the Fourth Proportional to 20,308, 30,448.12 and 10,821.74

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Solution

The fourth proportional to 20,308, 30,448.12 and 10,821.74 is: 16,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308 : 30,448.12 = 10,821.74 : x
  2. Step 2: Convert to fraction form
    20,308/30,448.12 = 10,821.74/x
  3. Step 3: Cross multiply
    20,308x = 30,448.12 × 10,821.74
  4. Step 4: Simplify right side
    20,308x = 329,501,638.13
  5. Step 5: Solve for x
    x = 329,501,638.13/20,308
  6. Step 6: Final answer
    x = 16,225.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.