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Finding the Fourth Proportional to 12,782.50, 19,174.58 and 4,017.76

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Solution

The fourth proportional to 12,782.50, 19,174.58 and 4,017.76 is: 6,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.50 : 19,174.58 = 4,017.76 : x
  2. Step 2: Convert to fraction form
    12,782.50/19,174.58 = 4,017.76/x
  3. Step 3: Cross multiply
    12,782.50x = 19,174.58 × 4,017.76
  4. Step 4: Simplify right side
    12,782.50x = 77,038,860.54
  5. Step 5: Solve for x
    x = 77,038,860.54/12,782.50
  6. Step 6: Final answer
    x = 6,026.90

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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.