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Finding the Fourth Proportional to 19,525.98, 29,290.28 and 7,678.82

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Solution

The fourth proportional to 19,525.98, 29,290.28 and 7,678.82 is: 11,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,525.98 : 29,290.28 = 7,678.82 : x
  2. Step 2: Convert to fraction form
    19,525.98/29,290.28 = 7,678.82/x
  3. Step 3: Cross multiply
    19,525.98x = 29,290.28 × 7,678.82
  4. Step 4: Simplify right side
    19,525.98x = 224,914,787.87
  5. Step 5: Solve for x
    x = 224,914,787.87/19,525.98
  6. Step 6: Final answer
    x = 11,518.75

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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.