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Finding the Fourth Proportional to 13,006.76, 17,949.36 and 7,038.50

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Solution

The fourth proportional to 13,006.76, 17,949.36 and 7,038.50 is: 9,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.76 : 17,949.36 = 7,038.50 : x
  2. Step 2: Convert to fraction form
    13,006.76/17,949.36 = 7,038.50/x
  3. Step 3: Cross multiply
    13,006.76x = 17,949.36 × 7,038.50
  4. Step 4: Simplify right side
    13,006.76x = 126,336,480.61
  5. Step 5: Solve for x
    x = 126,336,480.61/13,006.76
  6. Step 6: Final answer
    x = 9,713.14

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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.