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Finding the Fourth Proportional to 16,319, 22,522.16 and 9,695

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Solution

The fourth proportional to 16,319, 22,522.16 and 9,695 is: 13,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319 : 22,522.16 = 9,695 : x
  2. Step 2: Convert to fraction form
    16,319/22,522.16 = 9,695/x
  3. Step 3: Cross multiply
    16,319x = 22,522.16 × 9,695
  4. Step 4: Simplify right side
    16,319x = 218,352,341.20
  5. Step 5: Solve for x
    x = 218,352,341.20/16,319
  6. Step 6: Final answer
    x = 13,380.25

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Why These Related Problems?

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