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Finding the Fourth Proportional to 13,006.68, 19,501.72 and 5,506.32

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Solution

The fourth proportional to 13,006.68, 19,501.72 and 5,506.32 is: 8,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.68 : 19,501.72 = 5,506.32 : x
  2. Step 2: Convert to fraction form
    13,006.68/19,501.72 = 5,506.32/x
  3. Step 3: Cross multiply
    13,006.68x = 19,501.72 × 5,506.32
  4. Step 4: Simplify right side
    13,006.68x = 107,382,710.87
  5. Step 5: Solve for x
    x = 107,382,710.87/13,006.68
  6. Step 6: Final answer
    x = 8,255.97

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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.