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Finding the Fourth Proportional to 16,550.16, 24,823.08 and 7,314

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Solution

The fourth proportional to 16,550.16, 24,823.08 and 7,314 is: 10,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550.16 : 24,823.08 = 7,314 : x
  2. Step 2: Convert to fraction form
    16,550.16/24,823.08 = 7,314/x
  3. Step 3: Cross multiply
    16,550.16x = 24,823.08 × 7,314
  4. Step 4: Simplify right side
    16,550.16x = 181,556,007.12
  5. Step 5: Solve for x
    x = 181,556,007.12/16,550.16
  6. Step 6: Final answer
    x = 10,970.05

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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.