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Finding the Fourth Proportional to 12,754, 19,133.70 and 3,989.57

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Solution

The fourth proportional to 12,754, 19,133.70 and 3,989.57 is: 5,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754 : 19,133.70 = 3,989.57 : x
  2. Step 2: Convert to fraction form
    12,754/19,133.70 = 3,989.57/x
  3. Step 3: Cross multiply
    12,754x = 19,133.70 × 3,989.57
  4. Step 4: Simplify right side
    12,754x = 76,335,235.51
  5. Step 5: Solve for x
    x = 76,335,235.51/12,754
  6. Step 6: Final answer
    x = 5,985.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.