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Finding the Fourth Proportional to 12,886.56, 19,317.50 and 8,192.03

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Solution

The fourth proportional to 12,886.56, 19,317.50 and 8,192.03 is: 12,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.56 : 19,317.50 = 8,192.03 : x
  2. Step 2: Convert to fraction form
    12,886.56/19,317.50 = 8,192.03/x
  3. Step 3: Cross multiply
    12,886.56x = 19,317.50 × 8,192.03
  4. Step 4: Simplify right side
    12,886.56x = 158,249,401.98
  5. Step 5: Solve for x
    x = 158,249,401.98/12,886.56
  6. Step 6: Final answer
    x = 12,280.19

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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.