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Finding the Fourth Proportional to 12,811.10, 19,224.06 and 5,415.08

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Solution

The fourth proportional to 12,811.10, 19,224.06 and 5,415.08 is: 8,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.10 : 19,224.06 = 5,415.08 : x
  2. Step 2: Convert to fraction form
    12,811.10/19,224.06 = 5,415.08/x
  3. Step 3: Cross multiply
    12,811.10x = 19,224.06 × 5,415.08
  4. Step 4: Simplify right side
    12,811.10x = 104,099,822.82
  5. Step 5: Solve for x
    x = 104,099,822.82/12,811.10
  6. Step 6: Final answer
    x = 8,125.75

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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.