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Finding the Fourth Proportional to 15,415.85, 23,124.80 and 5,419.39

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Solution

The fourth proportional to 15,415.85, 23,124.80 and 5,419.39 is: 8,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.85 : 23,124.80 = 5,419.39 : x
  2. Step 2: Convert to fraction form
    15,415.85/23,124.80 = 5,419.39/x
  3. Step 3: Cross multiply
    15,415.85x = 23,124.80 × 5,419.39
  4. Step 4: Simplify right side
    15,415.85x = 125,322,309.87
  5. Step 5: Solve for x
    x = 125,322,309.87/15,415.85
  6. Step 6: Final answer
    x = 8,129.45

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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.