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Finding the Fourth Proportional to 19,354.14, 29,044.16 and 7,042.14

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Solution

The fourth proportional to 19,354.14, 29,044.16 and 7,042.14 is: 10,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,354.14 : 29,044.16 = 7,042.14 : x
  2. Step 2: Convert to fraction form
    19,354.14/29,044.16 = 7,042.14/x
  3. Step 3: Cross multiply
    19,354.14x = 29,044.16 × 7,042.14
  4. Step 4: Simplify right side
    19,354.14x = 204,533,005.69
  5. Step 5: Solve for x
    x = 204,533,005.69/19,354.14
  6. Step 6: Final answer
    x = 10,567.92

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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.