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Finding the Fourth Proportional to 16,009.99, 24,017.40 and 7,688.44

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Solution

The fourth proportional to 16,009.99, 24,017.40 and 7,688.44 is: 11,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.99 : 24,017.40 = 7,688.44 : x
  2. Step 2: Convert to fraction form
    16,009.99/24,017.40 = 7,688.44/x
  3. Step 3: Cross multiply
    16,009.99x = 24,017.40 × 7,688.44
  4. Step 4: Simplify right side
    16,009.99x = 184,656,338.86
  5. Step 5: Solve for x
    x = 184,656,338.86/16,009.99
  6. Step 6: Final answer
    x = 11,533.82

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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.