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Finding the Fourth Proportional to 13,070.82, 18,037.70 and 7,102.49

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Solution

The fourth proportional to 13,070.82, 18,037.70 and 7,102.49 is: 9,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.82 : 18,037.70 = 7,102.49 : x
  2. Step 2: Convert to fraction form
    13,070.82/18,037.70 = 7,102.49/x
  3. Step 3: Cross multiply
    13,070.82x = 18,037.70 × 7,102.49
  4. Step 4: Simplify right side
    13,070.82x = 128,112,540.93
  5. Step 5: Solve for x
    x = 128,112,540.93/13,070.82
  6. Step 6: Final answer
    x = 9,801.41

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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.