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Finding the Fourth Proportional to 12,271.47, 18,416.52 and 8,993.13

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Solution

The fourth proportional to 12,271.47, 18,416.52 and 8,993.13 is: 13,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.47 : 18,416.52 = 8,993.13 : x
  2. Step 2: Convert to fraction form
    12,271.47/18,416.52 = 8,993.13/x
  3. Step 3: Cross multiply
    12,271.47x = 18,416.52 × 8,993.13
  4. Step 4: Simplify right side
    12,271.47x = 165,622,158.51
  5. Step 5: Solve for x
    x = 165,622,158.51/12,271.47
  6. Step 6: Final answer
    x = 13,496.52

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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.