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Finding the Fourth Proportional to 13,670.88, 20,485.81 and 9,508.74

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Solution

The fourth proportional to 13,670.88, 20,485.81 and 9,508.74 is: 14,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.88 : 20,485.81 = 9,508.74 : x
  2. Step 2: Convert to fraction form
    13,670.88/20,485.81 = 9,508.74/x
  3. Step 3: Cross multiply
    13,670.88x = 20,485.81 × 9,508.74
  4. Step 4: Simplify right side
    13,670.88x = 194,794,291.28
  5. Step 5: Solve for x
    x = 194,794,291.28/13,670.88
  6. Step 6: Final answer
    x = 14,248.85

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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.