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Finding the Fourth Proportional to 19,911, 29,870.78 and 6,583.29

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Solution

The fourth proportional to 19,911, 29,870.78 and 6,583.29 is: 9,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,911 : 29,870.78 = 6,583.29 : x
  2. Step 2: Convert to fraction form
    19,911/29,870.78 = 6,583.29/x
  3. Step 3: Cross multiply
    19,911x = 29,870.78 × 6,583.29
  4. Step 4: Simplify right side
    19,911x = 196,648,007.27
  5. Step 5: Solve for x
    x = 196,648,007.27/19,911
  6. Step 6: Final answer
    x = 9,876.35

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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.