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Finding the Fourth Proportional to 14,002.40, 20,983.80 and 7,765.16

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Solution

The fourth proportional to 14,002.40, 20,983.80 and 7,765.16 is: 11,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.40 : 20,983.80 = 7,765.16 : x
  2. Step 2: Convert to fraction form
    14,002.40/20,983.80 = 7,765.16/x
  3. Step 3: Cross multiply
    14,002.40x = 20,983.80 × 7,765.16
  4. Step 4: Simplify right side
    14,002.40x = 162,942,564.41
  5. Step 5: Solve for x
    x = 162,942,564.41/14,002.40
  6. Step 6: Final answer
    x = 11,636.76

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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.