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Finding the Fourth Proportional to 13,790.54, 19,030.23 and 7,822.06

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Solution

The fourth proportional to 13,790.54, 19,030.23 and 7,822.06 is: 10,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.54 : 19,030.23 = 7,822.06 : x
  2. Step 2: Convert to fraction form
    13,790.54/19,030.23 = 7,822.06/x
  3. Step 3: Cross multiply
    13,790.54x = 19,030.23 × 7,822.06
  4. Step 4: Simplify right side
    13,790.54x = 148,855,553.30
  5. Step 5: Solve for x
    x = 148,855,553.30/13,790.54
  6. Step 6: Final answer
    x = 10,794.03

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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.