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Finding the Fourth Proportional to 24,771.76, 34,187.43 and 14,159.38

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Solution

The fourth proportional to 24,771.76, 34,187.43 and 14,159.38 is: 19,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771.76 : 34,187.43 = 14,159.38 : x
  2. Step 2: Convert to fraction form
    24,771.76/34,187.43 = 14,159.38/x
  3. Step 3: Cross multiply
    24,771.76x = 34,187.43 × 14,159.38
  4. Step 4: Simplify right side
    24,771.76x = 484,072,812.59
  5. Step 5: Solve for x
    x = 484,072,812.59/24,771.76
  6. Step 6: Final answer
    x = 19,541.32

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Why These Related Problems?

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