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Finding the Fourth Proportional to 14,982, 22,359.07 and 13,321.30

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Solution

The fourth proportional to 14,982, 22,359.07 and 13,321.30 is: 19,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 22,359.07 = 13,321.30 : x
  2. Step 2: Convert to fraction form
    14,982/22,359.07 = 13,321.30/x
  3. Step 3: Cross multiply
    14,982x = 22,359.07 × 13,321.30
  4. Step 4: Simplify right side
    14,982x = 297,851,879.19
  5. Step 5: Solve for x
    x = 297,851,879.19/14,982
  6. Step 6: Final answer
    x = 19,880.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.