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Finding the Fourth Proportional to 13,023.84, 17,983.20 and 12,028.72

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Solution

The fourth proportional to 13,023.84, 17,983.20 and 12,028.72 is: 16,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.84 : 17,983.20 = 12,028.72 : x
  2. Step 2: Convert to fraction form
    13,023.84/17,983.20 = 12,028.72/x
  3. Step 3: Cross multiply
    13,023.84x = 17,983.20 × 12,028.72
  4. Step 4: Simplify right side
    13,023.84x = 216,314,877.50
  5. Step 5: Solve for x
    x = 216,314,877.50/13,023.84
  6. Step 6: Final answer
    x = 16,609.15

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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.