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Finding the Fourth Proportional to 25,606.86, 38,410.29 and 8,078.05

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Solution

The fourth proportional to 25,606.86, 38,410.29 and 8,078.05 is: 12,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606.86 : 38,410.29 = 8,078.05 : x
  2. Step 2: Convert to fraction form
    25,606.86/38,410.29 = 8,078.05/x
  3. Step 3: Cross multiply
    25,606.86x = 38,410.29 × 8,078.05
  4. Step 4: Simplify right side
    25,606.86x = 310,280,243.13
  5. Step 5: Solve for x
    x = 310,280,243.13/25,606.86
  6. Step 6: Final answer
    x = 12,117.08

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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.