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Finding the Fourth Proportional to 22,345, 30,834.32 and 12,914.20

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Solution

The fourth proportional to 22,345, 30,834.32 and 12,914.20 is: 17,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345 : 30,834.32 = 12,914.20 : x
  2. Step 2: Convert to fraction form
    22,345/30,834.32 = 12,914.20/x
  3. Step 3: Cross multiply
    22,345x = 30,834.32 × 12,914.20
  4. Step 4: Simplify right side
    22,345x = 398,200,575.34
  5. Step 5: Solve for x
    x = 398,200,575.34/22,345
  6. Step 6: Final answer
    x = 17,820.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.