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Finding the Fourth Proportional to 16,590.68, 24,878.46 and 7,230.32

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Solution

The fourth proportional to 16,590.68, 24,878.46 and 7,230.32 is: 10,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.68 : 24,878.46 = 7,230.32 : x
  2. Step 2: Convert to fraction form
    16,590.68/24,878.46 = 7,230.32/x
  3. Step 3: Cross multiply
    16,590.68x = 24,878.46 × 7,230.32
  4. Step 4: Simplify right side
    16,590.68x = 179,879,226.91
  5. Step 5: Solve for x
    x = 179,879,226.91/16,590.68
  6. Step 6: Final answer
    x = 10,842.19

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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.