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Finding the Fourth Proportional to 13,811.48, 20,702.54 and 9,418.04

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Solution

The fourth proportional to 13,811.48, 20,702.54 and 9,418.04 is: 14,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.48 : 20,702.54 = 9,418.04 : x
  2. Step 2: Convert to fraction form
    13,811.48/20,702.54 = 9,418.04/x
  3. Step 3: Cross multiply
    13,811.48x = 20,702.54 × 9,418.04
  4. Step 4: Simplify right side
    13,811.48x = 194,977,349.82
  5. Step 5: Solve for x
    x = 194,977,349.82/13,811.48
  6. Step 6: Final answer
    x = 14,117.05

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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.