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Finding the Fourth Proportional to 13,030.86, 19,546.32 and 3,670.88

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Solution

The fourth proportional to 13,030.86, 19,546.32 and 3,670.88 is: 5,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.86 : 19,546.32 = 3,670.88 : x
  2. Step 2: Convert to fraction form
    13,030.86/19,546.32 = 3,670.88/x
  3. Step 3: Cross multiply
    13,030.86x = 19,546.32 × 3,670.88
  4. Step 4: Simplify right side
    13,030.86x = 71,752,195.16
  5. Step 5: Solve for x
    x = 71,752,195.16/13,030.86
  6. Step 6: Final answer
    x = 5,506.33

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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.