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Finding the Fourth Proportional to 13,006.61, 17,949.04 and 7,341.42

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Solution

The fourth proportional to 13,006.61, 17,949.04 and 7,341.42 is: 10,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.61 : 17,949.04 = 7,341.42 : x
  2. Step 2: Convert to fraction form
    13,006.61/17,949.04 = 7,341.42/x
  3. Step 3: Cross multiply
    13,006.61x = 17,949.04 × 7,341.42
  4. Step 4: Simplify right side
    13,006.61x = 131,771,422.88
  5. Step 5: Solve for x
    x = 131,771,422.88/13,006.61
  6. Step 6: Final answer
    x = 10,131.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.