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Finding the Fourth Proportional to 13,583.87, 20,374.07 and 5,258.18

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Solution

The fourth proportional to 13,583.87, 20,374.07 and 5,258.18 is: 7,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.87 : 20,374.07 = 5,258.18 : x
  2. Step 2: Convert to fraction form
    13,583.87/20,374.07 = 5,258.18/x
  3. Step 3: Cross multiply
    13,583.87x = 20,374.07 × 5,258.18
  4. Step 4: Simplify right side
    13,583.87x = 107,130,552.04
  5. Step 5: Solve for x
    x = 107,130,552.04/13,583.87
  6. Step 6: Final answer
    x = 7,886.60

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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.