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Finding the Fourth Proportional to 19,694.10, 29,530.88 and 9,694.66

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Solution

The fourth proportional to 19,694.10, 29,530.88 and 9,694.66 is: 14,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.10 : 29,530.88 = 9,694.66 : x
  2. Step 2: Convert to fraction form
    19,694.10/29,530.88 = 9,694.66/x
  3. Step 3: Cross multiply
    19,694.10x = 29,530.88 × 9,694.66
  4. Step 4: Simplify right side
    19,694.10x = 286,291,841.10
  5. Step 5: Solve for x
    x = 286,291,841.10/19,694.10
  6. Step 6: Final answer
    x = 14,536.93

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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.