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Finding the Fourth Proportional to 24,880.50, 34,335.72 and 13,702.50

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Solution

The fourth proportional to 24,880.50, 34,335.72 and 13,702.50 is: 18,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,880.50 : 34,335.72 = 13,702.50 : x
  2. Step 2: Convert to fraction form
    24,880.50/34,335.72 = 13,702.50/x
  3. Step 3: Cross multiply
    24,880.50x = 34,335.72 × 13,702.50
  4. Step 4: Simplify right side
    24,880.50x = 470,485,203.30
  5. Step 5: Solve for x
    x = 470,485,203.30/24,880.50
  6. Step 6: Final answer
    x = 18,909.80

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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.