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Finding the Fourth Proportional to 19,702.47, 29,544.93 and 7,219.20

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Solution

The fourth proportional to 19,702.47, 29,544.93 and 7,219.20 is: 10,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.47 : 29,544.93 = 7,219.20 : x
  2. Step 2: Convert to fraction form
    19,702.47/29,544.93 = 7,219.20/x
  3. Step 3: Cross multiply
    19,702.47x = 29,544.93 × 7,219.20
  4. Step 4: Simplify right side
    19,702.47x = 213,290,758.66
  5. Step 5: Solve for x
    x = 213,290,758.66/19,702.47
  6. Step 6: Final answer
    x = 10,825.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.