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Finding the Fourth Proportional to 19,729.58, 29,584.58 and 7,249.10

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Solution

The fourth proportional to 19,729.58, 29,584.58 and 7,249.10 is: 10,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.58 : 29,584.58 = 7,249.10 : x
  2. Step 2: Convert to fraction form
    19,729.58/29,584.58 = 7,249.10/x
  3. Step 3: Cross multiply
    19,729.58x = 29,584.58 × 7,249.10
  4. Step 4: Simplify right side
    19,729.58x = 214,461,394.71
  5. Step 5: Solve for x
    x = 214,461,394.71/19,729.58
  6. Step 6: Final answer
    x = 10,870.05

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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.