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Finding the Fourth Proportional to 24,802.70, 37,174.88 and 9,991.84

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Solution

The fourth proportional to 24,802.70, 37,174.88 and 9,991.84 is: 14,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.70 : 37,174.88 = 9,991.84 : x
  2. Step 2: Convert to fraction form
    24,802.70/37,174.88 = 9,991.84/x
  3. Step 3: Cross multiply
    24,802.70x = 37,174.88 × 9,991.84
  4. Step 4: Simplify right side
    24,802.70x = 371,445,452.98
  5. Step 5: Solve for x
    x = 371,445,452.98/24,802.70
  6. Step 6: Final answer
    x = 14,976.01

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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.