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Finding the Fourth Proportional to 13,006.88, 17,949.50 and 7,038.53

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Solution

The fourth proportional to 13,006.88, 17,949.50 and 7,038.53 is: 9,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.88 : 17,949.50 = 7,038.53 : x
  2. Step 2: Convert to fraction form
    13,006.88/17,949.50 = 7,038.53/x
  3. Step 3: Cross multiply
    13,006.88x = 17,949.50 × 7,038.53
  4. Step 4: Simplify right side
    13,006.88x = 126,338,063.00
  5. Step 5: Solve for x
    x = 126,338,063.00/13,006.88
  6. Step 6: Final answer
    x = 9,713.17

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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.