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Finding the Fourth Proportional to 12,695.81, 17,538.47 and 10,140.21

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Solution

The fourth proportional to 12,695.81, 17,538.47 and 10,140.21 is: 14,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.81 : 17,538.47 = 10,140.21 : x
  2. Step 2: Convert to fraction form
    12,695.81/17,538.47 = 10,140.21/x
  3. Step 3: Cross multiply
    12,695.81x = 17,538.47 × 10,140.21
  4. Step 4: Simplify right side
    12,695.81x = 177,843,768.88
  5. Step 5: Solve for x
    x = 177,843,768.88/12,695.81
  6. Step 6: Final answer
    x = 14,008.07

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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.