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Finding the Fourth Proportional to 12,902.90, 19,357.36 and 4,017.80

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Solution

The fourth proportional to 12,902.90, 19,357.36 and 4,017.80 is: 6,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.90 : 19,357.36 = 4,017.80 : x
  2. Step 2: Convert to fraction form
    12,902.90/19,357.36 = 4,017.80/x
  3. Step 3: Cross multiply
    12,902.90x = 19,357.36 × 4,017.80
  4. Step 4: Simplify right side
    12,902.90x = 77,774,039.36
  5. Step 5: Solve for x
    x = 77,774,039.36/12,902.90
  6. Step 6: Final answer
    x = 6,027.64

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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.