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Finding the Fourth Proportional to 12,702.60, 19,051.74 and 3,466.44

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Solution

The fourth proportional to 12,702.60, 19,051.74 and 3,466.44 is: 5,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.60 : 19,051.74 = 3,466.44 : x
  2. Step 2: Convert to fraction form
    12,702.60/19,051.74 = 3,466.44/x
  3. Step 3: Cross multiply
    12,702.60x = 19,051.74 × 3,466.44
  4. Step 4: Simplify right side
    12,702.60x = 66,041,713.61
  5. Step 5: Solve for x
    x = 66,041,713.61/12,702.60
  6. Step 6: Final answer
    x = 5,199.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.