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Finding the Fourth Proportional to 17,830.75, 24,606.45 and 10,378.75

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Solution

The fourth proportional to 17,830.75, 24,606.45 and 10,378.75 is: 14,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.75 : 24,606.45 = 10,378.75 : x
  2. Step 2: Convert to fraction form
    17,830.75/24,606.45 = 10,378.75/x
  3. Step 3: Cross multiply
    17,830.75x = 24,606.45 × 10,378.75
  4. Step 4: Simplify right side
    17,830.75x = 255,384,192.94
  5. Step 5: Solve for x
    x = 255,384,192.94/17,830.75
  6. Step 6: Final answer
    x = 14,322.68

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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.