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Finding the Fourth Proportional to 19,594.21, 29,397 and 7,114.03

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Solution

The fourth proportional to 19,594.21, 29,397 and 7,114.03 is: 10,673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.21 : 29,397 = 7,114.03 : x
  2. Step 2: Convert to fraction form
    19,594.21/29,397 = 7,114.03/x
  3. Step 3: Cross multiply
    19,594.21x = 29,397 × 7,114.03
  4. Step 4: Simplify right side
    19,594.21x = 209,131,139.91
  5. Step 5: Solve for x
    x = 209,131,139.91/19,594.21
  6. Step 6: Final answer
    x = 10,673.11

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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.