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Finding the Fourth Proportional to 13,098.51, 19,647.90 and 5,305.50

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Solution

The fourth proportional to 13,098.51, 19,647.90 and 5,305.50 is: 7,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.51 : 19,647.90 = 5,305.50 : x
  2. Step 2: Convert to fraction form
    13,098.51/19,647.90 = 5,305.50/x
  3. Step 3: Cross multiply
    13,098.51x = 19,647.90 × 5,305.50
  4. Step 4: Simplify right side
    13,098.51x = 104,241,933.45
  5. Step 5: Solve for x
    x = 104,241,933.45/13,098.51
  6. Step 6: Final answer
    x = 7,958.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.