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Finding the Fourth Proportional to 19,838.58, 29,759.62 and 7,358.74

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Solution

The fourth proportional to 19,838.58, 29,759.62 and 7,358.74 is: 11,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.58 : 29,759.62 = 7,358.74 : x
  2. Step 2: Convert to fraction form
    19,838.58/29,759.62 = 7,358.74/x
  3. Step 3: Cross multiply
    19,838.58x = 29,759.62 × 7,358.74
  4. Step 4: Simplify right side
    19,838.58x = 218,993,213.28
  5. Step 5: Solve for x
    x = 218,993,213.28/19,838.58
  6. Step 6: Final answer
    x = 11,038.75

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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.