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Finding the Fourth Proportional to 16,074.42, 24,095.49 and 7,752.06

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Solution

The fourth proportional to 16,074.42, 24,095.49 and 7,752.06 is: 11,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.42 : 24,095.49 = 7,752.06 : x
  2. Step 2: Convert to fraction form
    16,074.42/24,095.49 = 7,752.06/x
  3. Step 3: Cross multiply
    16,074.42x = 24,095.49 × 7,752.06
  4. Step 4: Simplify right side
    16,074.42x = 186,789,684.21
  5. Step 5: Solve for x
    x = 186,789,684.21/16,074.42
  6. Step 6: Final answer
    x = 11,620.31

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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.