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Finding the Fourth Proportional to 16,012.98, 24,013.35 and 7,690.68

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Solution

The fourth proportional to 16,012.98, 24,013.35 and 7,690.68 is: 11,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.98 : 24,013.35 = 7,690.68 : x
  2. Step 2: Convert to fraction form
    16,012.98/24,013.35 = 7,690.68/x
  3. Step 3: Cross multiply
    16,012.98x = 24,013.35 × 7,690.68
  4. Step 4: Simplify right side
    16,012.98x = 184,678,990.58
  5. Step 5: Solve for x
    x = 184,678,990.58/16,012.98
  6. Step 6: Final answer
    x = 11,533.08

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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.