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Finding the Fourth Proportional to 25,602.86, 38,404.29 and 8,074.05

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Solution

The fourth proportional to 25,602.86, 38,404.29 and 8,074.05 is: 12,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.86 : 38,404.29 = 8,074.05 : x
  2. Step 2: Convert to fraction form
    25,602.86/38,404.29 = 8,074.05/x
  3. Step 3: Cross multiply
    25,602.86x = 38,404.29 × 8,074.05
  4. Step 4: Simplify right side
    25,602.86x = 310,078,333.91
  5. Step 5: Solve for x
    x = 310,078,333.91/25,602.86
  6. Step 6: Final answer
    x = 12,111.08

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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.