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Finding the Fourth Proportional to 17,857.23, 24,642.78 and 10,303.47

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Solution

The fourth proportional to 17,857.23, 24,642.78 and 10,303.47 is: 14,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.23 : 24,642.78 = 10,303.47 : x
  2. Step 2: Convert to fraction form
    17,857.23/24,642.78 = 10,303.47/x
  3. Step 3: Cross multiply
    17,857.23x = 24,642.78 × 10,303.47
  4. Step 4: Simplify right side
    17,857.23x = 253,906,144.45
  5. Step 5: Solve for x
    x = 253,906,144.45/17,857.23
  6. Step 6: Final answer
    x = 14,218.67

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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.