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Finding the Fourth Proportional to 24,668.16, 34,042.56 and 14,057.76

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Solution

The fourth proportional to 24,668.16, 34,042.56 and 14,057.76 is: 19,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668.16 : 34,042.56 = 14,057.76 : x
  2. Step 2: Convert to fraction form
    24,668.16/34,042.56 = 14,057.76/x
  3. Step 3: Cross multiply
    24,668.16x = 34,042.56 × 14,057.76
  4. Step 4: Simplify right side
    24,668.16x = 478,562,138.27
  5. Step 5: Solve for x
    x = 478,562,138.27/24,668.16
  6. Step 6: Final answer
    x = 19,399.99

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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.