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Finding the Fourth Proportional to 12,709.14, 17,538.62 and 7,120.14

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Solution

The fourth proportional to 12,709.14, 17,538.62 and 7,120.14 is: 9,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.14 : 17,538.62 = 7,120.14 : x
  2. Step 2: Convert to fraction form
    12,709.14/17,538.62 = 7,120.14/x
  3. Step 3: Cross multiply
    12,709.14x = 17,538.62 × 7,120.14
  4. Step 4: Simplify right side
    12,709.14x = 124,877,438.05
  5. Step 5: Solve for x
    x = 124,877,438.05/12,709.14
  6. Step 6: Final answer
    x = 9,825.80

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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.