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Finding the Fourth Proportional to 19,802.62, 29,704.05 and 4,809.70

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Solution

The fourth proportional to 19,802.62, 29,704.05 and 4,809.70 is: 7,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.62 : 29,704.05 = 4,809.70 : x
  2. Step 2: Convert to fraction form
    19,802.62/29,704.05 = 4,809.70/x
  3. Step 3: Cross multiply
    19,802.62x = 29,704.05 × 4,809.70
  4. Step 4: Simplify right side
    19,802.62x = 142,867,569.29
  5. Step 5: Solve for x
    x = 142,867,569.29/19,802.62
  6. Step 6: Final answer
    x = 7,214.58

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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.