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Finding the Fourth Proportional to 13,643.88, 20,465.76 and 4,283.92

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Solution

The fourth proportional to 13,643.88, 20,465.76 and 4,283.92 is: 6,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.88 : 20,465.76 = 4,283.92 : x
  2. Step 2: Convert to fraction form
    13,643.88/20,465.76 = 4,283.92/x
  3. Step 3: Cross multiply
    13,643.88x = 20,465.76 × 4,283.92
  4. Step 4: Simplify right side
    13,643.88x = 87,673,678.58
  5. Step 5: Solve for x
    x = 87,673,678.58/13,643.88
  6. Step 6: Final answer
    x = 6,425.86

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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.