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Finding the Fourth Proportional to 13,309.50, 18,374.31 and 8,005.50

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Solution

The fourth proportional to 13,309.50, 18,374.31 and 8,005.50 is: 11,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.50 : 18,374.31 = 8,005.50 : x
  2. Step 2: Convert to fraction form
    13,309.50/18,374.31 = 8,005.50/x
  3. Step 3: Cross multiply
    13,309.50x = 18,374.31 × 8,005.50
  4. Step 4: Simplify right side
    13,309.50x = 147,095,538.71
  5. Step 5: Solve for x
    x = 147,095,538.71/13,309.50
  6. Step 6: Final answer
    x = 11,051.92

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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.