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Finding the Fourth Proportional to 13,006.95, 17,949.56 and 7,038.72

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Solution

The fourth proportional to 13,006.95, 17,949.56 and 7,038.72 is: 9,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.95 : 17,949.56 = 7,038.72 : x
  2. Step 2: Convert to fraction form
    13,006.95/17,949.56 = 7,038.72/x
  3. Step 3: Cross multiply
    13,006.95x = 17,949.56 × 7,038.72
  4. Step 4: Simplify right side
    13,006.95x = 126,341,891.77
  5. Step 5: Solve for x
    x = 126,341,891.77/13,006.95
  6. Step 6: Final answer
    x = 9,713.41

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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.