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Finding the Fourth Proportional to 25,606.36, 38,409.54 and 8,077.55

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Solution

The fourth proportional to 25,606.36, 38,409.54 and 8,077.55 is: 12,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606.36 : 38,409.54 = 8,077.55 : x
  2. Step 2: Convert to fraction form
    25,606.36/38,409.54 = 8,077.55/x
  3. Step 3: Cross multiply
    25,606.36x = 38,409.54 × 8,077.55
  4. Step 4: Simplify right side
    25,606.36x = 310,254,979.83
  5. Step 5: Solve for x
    x = 310,254,979.83/25,606.36
  6. Step 6: Final answer
    x = 12,116.33

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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.