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Finding the Fourth Proportional to 16,069.13, 24,113.65 and 7,749.98

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Solution

The fourth proportional to 16,069.13, 24,113.65 and 7,749.98 is: 11,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.13 : 24,113.65 = 7,749.98 : x
  2. Step 2: Convert to fraction form
    16,069.13/24,113.65 = 7,749.98/x
  3. Step 3: Cross multiply
    16,069.13x = 24,113.65 × 7,749.98
  4. Step 4: Simplify right side
    16,069.13x = 186,880,270.24
  5. Step 5: Solve for x
    x = 186,880,270.24/16,069.13
  6. Step 6: Final answer
    x = 11,629.77

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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.