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Finding the Fourth Proportional to 13,746, 20,622.52 and 4,512.08

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Solution

The fourth proportional to 13,746, 20,622.52 and 4,512.08 is: 6,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746 : 20,622.52 = 4,512.08 : x
  2. Step 2: Convert to fraction form
    13,746/20,622.52 = 4,512.08/x
  3. Step 3: Cross multiply
    13,746x = 20,622.52 × 4,512.08
  4. Step 4: Simplify right side
    13,746x = 93,050,460.04
  5. Step 5: Solve for x
    x = 93,050,460.04/13,746
  6. Step 6: Final answer
    x = 6,769.28

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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.