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Finding the Fourth Proportional to 13,005.63, 17,947.71 and 7,037.25

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Solution

The fourth proportional to 13,005.63, 17,947.71 and 7,037.25 is: 9,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.63 : 17,947.71 = 7,037.25 : x
  2. Step 2: Convert to fraction form
    13,005.63/17,947.71 = 7,037.25/x
  3. Step 3: Cross multiply
    13,005.63x = 17,947.71 × 7,037.25
  4. Step 4: Simplify right side
    13,005.63x = 126,302,522.20
  5. Step 5: Solve for x
    x = 126,302,522.20/13,005.63
  6. Step 6: Final answer
    x = 9,711.37

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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.