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Finding the Fourth Proportional to 19,802.44, 29,701.18 and 6,474.32

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Solution

The fourth proportional to 19,802.44, 29,701.18 and 6,474.32 is: 9,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.44 : 29,701.18 = 6,474.32 : x
  2. Step 2: Convert to fraction form
    19,802.44/29,701.18 = 6,474.32/x
  3. Step 3: Cross multiply
    19,802.44x = 29,701.18 × 6,474.32
  4. Step 4: Simplify right side
    19,802.44x = 192,294,943.70
  5. Step 5: Solve for x
    x = 192,294,943.70/19,802.44
  6. Step 6: Final answer
    x = 9,710.67

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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.