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Finding the Fourth Proportional to 13,042.57, 19,546.16 and 6,007.11

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Solution

The fourth proportional to 13,042.57, 19,546.16 and 6,007.11 is: 9,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.57 : 19,546.16 = 6,007.11 : x
  2. Step 2: Convert to fraction form
    13,042.57/19,546.16 = 6,007.11/x
  3. Step 3: Cross multiply
    13,042.57x = 19,546.16 × 6,007.11
  4. Step 4: Simplify right side
    13,042.57x = 117,415,973.60
  5. Step 5: Solve for x
    x = 117,415,973.60/13,042.57
  6. Step 6: Final answer
    x = 9,002.52

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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.