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Finding the Fourth Proportional to 13,585.84, 20,366.58 and 8,641.60

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Solution

The fourth proportional to 13,585.84, 20,366.58 and 8,641.60 is: 12,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.84 : 20,366.58 = 8,641.60 : x
  2. Step 2: Convert to fraction form
    13,585.84/20,366.58 = 8,641.60/x
  3. Step 3: Cross multiply
    13,585.84x = 20,366.58 × 8,641.60
  4. Step 4: Simplify right side
    13,585.84x = 175,999,837.73
  5. Step 5: Solve for x
    x = 175,999,837.73/13,585.84
  6. Step 6: Final answer
    x = 12,954.65

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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.