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Finding the Fourth Proportional to 13,790.07, 19,030.86 and 7,822.44

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Solution

The fourth proportional to 13,790.07, 19,030.86 and 7,822.44 is: 10,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.07 : 19,030.86 = 7,822.44 : x
  2. Step 2: Convert to fraction form
    13,790.07/19,030.86 = 7,822.44/x
  3. Step 3: Cross multiply
    13,790.07x = 19,030.86 × 7,822.44
  4. Step 4: Simplify right side
    13,790.07x = 148,867,760.50
  5. Step 5: Solve for x
    x = 148,867,760.50/13,790.07
  6. Step 6: Final answer
    x = 10,795.29

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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.