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Finding the Fourth Proportional to 24,668, 34,042.04 and 13,490

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Solution

The fourth proportional to 24,668, 34,042.04 and 13,490 is: 18,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,668 : 34,042.04 = 13,490 : x
  2. Step 2: Convert to fraction form
    24,668/34,042.04 = 13,490/x
  3. Step 3: Cross multiply
    24,668x = 34,042.04 × 13,490
  4. Step 4: Simplify right side
    24,668x = 459,227,119.60
  5. Step 5: Solve for x
    x = 459,227,119.60/24,668
  6. Step 6: Final answer
    x = 18,616.31

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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.