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Finding the Fourth Proportional to 13,143.95, 18,133.98 and 7,765.23

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Solution

The fourth proportional to 13,143.95, 18,133.98 and 7,765.23 is: 10,713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.95 : 18,133.98 = 7,765.23 : x
  2. Step 2: Convert to fraction form
    13,143.95/18,133.98 = 7,765.23/x
  3. Step 3: Cross multiply
    13,143.95x = 18,133.98 × 7,765.23
  4. Step 4: Simplify right side
    13,143.95x = 140,814,564.40
  5. Step 5: Solve for x
    x = 140,814,564.40/13,143.95
  6. Step 6: Final answer
    x = 10,713.26

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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.