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Finding the Fourth Proportional to 13,071.34, 18,037.71 and 7,102.97

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Solution

The fourth proportional to 13,071.34, 18,037.71 and 7,102.97 is: 9,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.34 : 18,037.71 = 7,102.97 : x
  2. Step 2: Convert to fraction form
    13,071.34/18,037.71 = 7,102.97/x
  3. Step 3: Cross multiply
    13,071.34x = 18,037.71 × 7,102.97
  4. Step 4: Simplify right side
    13,071.34x = 128,121,237.22
  5. Step 5: Solve for x
    x = 128,121,237.22/13,071.34
  6. Step 6: Final answer
    x = 9,801.69

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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.