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Finding the Fourth Proportional to 13,643.60, 20,465.40 and 8,698.55

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Solution

The fourth proportional to 13,643.60, 20,465.40 and 8,698.55 is: 13,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.60 : 20,465.40 = 8,698.55 : x
  2. Step 2: Convert to fraction form
    13,643.60/20,465.40 = 8,698.55/x
  3. Step 3: Cross multiply
    13,643.60x = 20,465.40 × 8,698.55
  4. Step 4: Simplify right side
    13,643.60x = 178,019,305.17
  5. Step 5: Solve for x
    x = 178,019,305.17/13,643.60
  6. Step 6: Final answer
    x = 13,047.83

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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.