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Finding the Fourth Proportional to 14,090.28, 19,443.81 and 7,802.25

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Solution

The fourth proportional to 14,090.28, 19,443.81 and 7,802.25 is: 10,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,090.28 : 19,443.81 = 7,802.25 : x
  2. Step 2: Convert to fraction form
    14,090.28/19,443.81 = 7,802.25/x
  3. Step 3: Cross multiply
    14,090.28x = 19,443.81 × 7,802.25
  4. Step 4: Simplify right side
    14,090.28x = 151,705,466.57
  5. Step 5: Solve for x
    x = 151,705,466.57/14,090.28
  6. Step 6: Final answer
    x = 10,766.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.