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Finding the Fourth Proportional to 13,506.94, 20,258.52 and 3,647.08

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Solution

The fourth proportional to 13,506.94, 20,258.52 and 3,647.08 is: 5,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.94 : 20,258.52 = 3,647.08 : x
  2. Step 2: Convert to fraction form
    13,506.94/20,258.52 = 3,647.08/x
  3. Step 3: Cross multiply
    13,506.94x = 20,258.52 × 3,647.08
  4. Step 4: Simplify right side
    13,506.94x = 73,884,443.12
  5. Step 5: Solve for x
    x = 73,884,443.12/13,506.94
  6. Step 6: Final answer
    x = 5,470.11

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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.