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Finding the Fourth Proportional to 16,059.23, 24,075.01 and 7,727.78

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Solution

The fourth proportional to 16,059.23, 24,075.01 and 7,727.78 is: 11,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,059.23 : 24,075.01 = 7,727.78 : x
  2. Step 2: Convert to fraction form
    16,059.23/24,075.01 = 7,727.78/x
  3. Step 3: Cross multiply
    16,059.23x = 24,075.01 × 7,727.78
  4. Step 4: Simplify right side
    16,059.23x = 186,046,450.63
  5. Step 5: Solve for x
    x = 186,046,450.63/16,059.23
  6. Step 6: Final answer
    x = 11,585.02

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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.