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Finding the Fourth Proportional to 12,697.03, 19,038.75 and 6,453.19

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Solution

The fourth proportional to 12,697.03, 19,038.75 and 6,453.19 is: 9,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.03 : 19,038.75 = 6,453.19 : x
  2. Step 2: Convert to fraction form
    12,697.03/19,038.75 = 6,453.19/x
  3. Step 3: Cross multiply
    12,697.03x = 19,038.75 × 6,453.19
  4. Step 4: Simplify right side
    12,697.03x = 122,860,671.11
  5. Step 5: Solve for x
    x = 122,860,671.11/12,697.03
  6. Step 6: Final answer
    x = 9,676.33

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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.