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Finding the Fourth Proportional to 13,853.66, 20,780.16 and 3,465.40

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Solution

The fourth proportional to 13,853.66, 20,780.16 and 3,465.40 is: 5,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.66 : 20,780.16 = 3,465.40 : x
  2. Step 2: Convert to fraction form
    13,853.66/20,780.16 = 3,465.40/x
  3. Step 3: Cross multiply
    13,853.66x = 20,780.16 × 3,465.40
  4. Step 4: Simplify right side
    13,853.66x = 72,011,566.46
  5. Step 5: Solve for x
    x = 72,011,566.46/13,853.66
  6. Step 6: Final answer
    x = 5,198.02

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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.