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Finding the Fourth Proportional to 14,061.26, 19,404.93 and 7,774.04

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Solution

The fourth proportional to 14,061.26, 19,404.93 and 7,774.04 is: 10,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,061.26 : 19,404.93 = 7,774.04 : x
  2. Step 2: Convert to fraction form
    14,061.26/19,404.93 = 7,774.04/x
  3. Step 3: Cross multiply
    14,061.26x = 19,404.93 × 7,774.04
  4. Step 4: Simplify right side
    14,061.26x = 150,854,702.02
  5. Step 5: Solve for x
    x = 150,854,702.02/14,061.26
  6. Step 6: Final answer
    x = 10,728.39

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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.