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Finding the Fourth Proportional to 13,476.30, 20,210.85 and 4,116.30

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Solution

The fourth proportional to 13,476.30, 20,210.85 and 4,116.30 is: 6,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.30 : 20,210.85 = 4,116.30 : x
  2. Step 2: Convert to fraction form
    13,476.30/20,210.85 = 4,116.30/x
  3. Step 3: Cross multiply
    13,476.30x = 20,210.85 × 4,116.30
  4. Step 4: Simplify right side
    13,476.30x = 83,193,921.86
  5. Step 5: Solve for x
    x = 83,193,921.86/13,476.30
  6. Step 6: Final answer
    x = 6,173.35

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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.