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Finding the Fourth Proportional to 13,207.16, 19,811.34 and 5,410.50

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Solution

The fourth proportional to 13,207.16, 19,811.34 and 5,410.50 is: 8,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.16 : 19,811.34 = 5,410.50 : x
  2. Step 2: Convert to fraction form
    13,207.16/19,811.34 = 5,410.50/x
  3. Step 3: Cross multiply
    13,207.16x = 19,811.34 × 5,410.50
  4. Step 4: Simplify right side
    13,207.16x = 107,189,255.07
  5. Step 5: Solve for x
    x = 107,189,255.07/13,207.16
  6. Step 6: Final answer
    x = 8,116.00

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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.