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Finding the Fourth Proportional to 19,185.64, 28,759.99 and 9,830.06

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Solution

The fourth proportional to 19,185.64, 28,759.99 and 9,830.06 is: 14,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,185.64 : 28,759.99 = 9,830.06 : x
  2. Step 2: Convert to fraction form
    19,185.64/28,759.99 = 9,830.06/x
  3. Step 3: Cross multiply
    19,185.64x = 28,759.99 × 9,830.06
  4. Step 4: Simplify right side
    19,185.64x = 282,712,427.30
  5. Step 5: Solve for x
    x = 282,712,427.30/19,185.64
  6. Step 6: Final answer
    x = 14,735.63

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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.