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Finding the Fourth Proportional to 24,880.41, 34,334.96 and 13,702.41

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Solution

The fourth proportional to 24,880.41, 34,334.96 and 13,702.41 is: 18,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,880.41 : 34,334.96 = 13,702.41 : x
  2. Step 2: Convert to fraction form
    24,880.41/34,334.96 = 13,702.41/x
  3. Step 3: Cross multiply
    24,880.41x = 34,334.96 × 13,702.41
  4. Step 4: Simplify right side
    24,880.41x = 470,471,733.51
  5. Step 5: Solve for x
    x = 470,471,733.51/24,880.41
  6. Step 6: Final answer
    x = 18,909.32

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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.