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Finding the Fourth Proportional to 13,771.95, 19,009.59 and 8,106.25

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Solution

The fourth proportional to 13,771.95, 19,009.59 and 8,106.25 is: 11,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.95 : 19,009.59 = 8,106.25 : x
  2. Step 2: Convert to fraction form
    13,771.95/19,009.59 = 8,106.25/x
  3. Step 3: Cross multiply
    13,771.95x = 19,009.59 × 8,106.25
  4. Step 4: Simplify right side
    13,771.95x = 154,096,500.12
  5. Step 5: Solve for x
    x = 154,096,500.12/13,771.95
  6. Step 6: Final answer
    x = 11,189.16

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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.