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Finding the Fourth Proportional to 19,048.44, 26,284.60 and 10,982

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Solution

The fourth proportional to 19,048.44, 26,284.60 and 10,982 is: 15,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,048.44 : 26,284.60 = 10,982 : x
  2. Step 2: Convert to fraction form
    19,048.44/26,284.60 = 10,982/x
  3. Step 3: Cross multiply
    19,048.44x = 26,284.60 × 10,982
  4. Step 4: Simplify right side
    19,048.44x = 288,657,477.20
  5. Step 5: Solve for x
    x = 288,657,477.20/19,048.44
  6. Step 6: Final answer
    x = 15,153.86

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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.