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Finding the Fourth Proportional to 12,901.78, 19,348.03 and 4,466.00

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Solution

The fourth proportional to 12,901.78, 19,348.03 and 4,466.00 is: 6,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.78 : 19,348.03 = 4,466.00 : x
  2. Step 2: Convert to fraction form
    12,901.78/19,348.03 = 4,466.00/x
  3. Step 3: Cross multiply
    12,901.78x = 19,348.03 × 4,466.00
  4. Step 4: Simplify right side
    12,901.78x = 86,408,205.24
  5. Step 5: Solve for x
    x = 86,408,205.24/12,901.78
  6. Step 6: Final answer
    x = 6,697.39

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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.