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Finding the Fourth Proportional to 13,772.19, 19,003.28 and 7,802.63

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Solution

The fourth proportional to 13,772.19, 19,003.28 and 7,802.63 is: 10,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.19 : 19,003.28 = 7,802.63 : x
  2. Step 2: Convert to fraction form
    13,772.19/19,003.28 = 7,802.63/x
  3. Step 3: Cross multiply
    13,772.19x = 19,003.28 × 7,802.63
  4. Step 4: Simplify right side
    13,772.19x = 148,275,428.60
  5. Step 5: Solve for x
    x = 148,275,428.60/13,772.19
  6. Step 6: Final answer
    x = 10,766.29

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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.