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Finding the Fourth Proportional to 12,023.24, 16,598.50 and 8,051.12

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Solution

The fourth proportional to 12,023.24, 16,598.50 and 8,051.12 is: 11,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.24 : 16,598.50 = 8,051.12 : x
  2. Step 2: Convert to fraction form
    12,023.24/16,598.50 = 8,051.12/x
  3. Step 3: Cross multiply
    12,023.24x = 16,598.50 × 8,051.12
  4. Step 4: Simplify right side
    12,023.24x = 133,636,515.32
  5. Step 5: Solve for x
    x = 133,636,515.32/12,023.24
  6. Step 6: Final answer
    x = 11,114.85

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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.