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Finding the Fourth Proportional to 13,001.58, 17,942.33 and 7,895.64

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Solution

The fourth proportional to 13,001.58, 17,942.33 and 7,895.64 is: 10,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.58 : 17,942.33 = 7,895.64 : x
  2. Step 2: Convert to fraction form
    13,001.58/17,942.33 = 7,895.64/x
  3. Step 3: Cross multiply
    13,001.58x = 17,942.33 × 7,895.64
  4. Step 4: Simplify right side
    13,001.58x = 141,666,178.44
  5. Step 5: Solve for x
    x = 141,666,178.44/13,001.58
  6. Step 6: Final answer
    x = 10,896.07

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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.