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Finding the Fourth Proportional to 17,830.69, 24,612.83 and 10,378.69

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Solution

The fourth proportional to 17,830.69, 24,612.83 and 10,378.69 is: 14,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.69 : 24,612.83 = 10,378.69 : x
  2. Step 2: Convert to fraction form
    17,830.69/24,612.83 = 10,378.69/x
  3. Step 3: Cross multiply
    17,830.69x = 24,612.83 × 10,378.69
  4. Step 4: Simplify right side
    17,830.69x = 255,448,858.09
  5. Step 5: Solve for x
    x = 255,448,858.09/17,830.69
  6. Step 6: Final answer
    x = 14,326.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.