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Finding the Fourth Proportional to 24,418.78, 33,698.58 and 13,810

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Solution

The fourth proportional to 24,418.78, 33,698.58 and 13,810 is: 19,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418.78 : 33,698.58 = 13,810 : x
  2. Step 2: Convert to fraction form
    24,418.78/33,698.58 = 13,810/x
  3. Step 3: Cross multiply
    24,418.78x = 33,698.58 × 13,810
  4. Step 4: Simplify right side
    24,418.78x = 465,377,389.80
  5. Step 5: Solve for x
    x = 465,377,389.80/24,418.78
  6. Step 6: Final answer
    x = 19,058.18

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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.