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Finding the Fourth Proportional to 24,719.63, 34,113.08 and 14,109.03

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Solution

The fourth proportional to 24,719.63, 34,113.08 and 14,109.03 is: 19,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.63 : 34,113.08 = 14,109.03 : x
  2. Step 2: Convert to fraction form
    24,719.63/34,113.08 = 14,109.03/x
  3. Step 3: Cross multiply
    24,719.63x = 34,113.08 × 14,109.03
  4. Step 4: Simplify right side
    24,719.63x = 481,302,504.38
  5. Step 5: Solve for x
    x = 481,302,504.38/24,719.63
  6. Step 6: Final answer
    x = 19,470.46

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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.