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Finding the Fourth Proportional to 12,702.36, 19,044.63 and 6,862.80

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Solution

The fourth proportional to 12,702.36, 19,044.63 and 6,862.80 is: 10,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.36 : 19,044.63 = 6,862.80 : x
  2. Step 2: Convert to fraction form
    12,702.36/19,044.63 = 6,862.80/x
  3. Step 3: Cross multiply
    12,702.36x = 19,044.63 × 6,862.80
  4. Step 4: Simplify right side
    12,702.36x = 130,699,486.76
  5. Step 5: Solve for x
    x = 130,699,486.76/12,702.36
  6. Step 6: Final answer
    x = 10,289.39

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