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Finding the Fourth Proportional to 25,999.34, 39,002.25 and 8,464.46

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Solution

The fourth proportional to 25,999.34, 39,002.25 and 8,464.46 is: 12,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,999.34 : 39,002.25 = 8,464.46 : x
  2. Step 2: Convert to fraction form
    25,999.34/39,002.25 = 8,464.46/x
  3. Step 3: Cross multiply
    25,999.34x = 39,002.25 × 8,464.46
  4. Step 4: Simplify right side
    25,999.34x = 330,132,985.04
  5. Step 5: Solve for x
    x = 330,132,985.04/25,999.34
  6. Step 6: Final answer
    x = 12,697.74

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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.