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Finding the Fourth Proportional to 13,290.93, 19,886.49 and 8,137.80

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Solution

The fourth proportional to 13,290.93, 19,886.49 and 8,137.80 is: 12,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290.93 : 19,886.49 = 8,137.80 : x
  2. Step 2: Convert to fraction form
    13,290.93/19,886.49 = 8,137.80/x
  3. Step 3: Cross multiply
    13,290.93x = 19,886.49 × 8,137.80
  4. Step 4: Simplify right side
    13,290.93x = 161,832,278.32
  5. Step 5: Solve for x
    x = 161,832,278.32/13,290.93
  6. Step 6: Final answer
    x = 12,176.14

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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.