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Finding the Fourth Proportional to 19,142.31, 28,719.29 and 9,788.90

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Solution

The fourth proportional to 19,142.31, 28,719.29 and 9,788.90 is: 14,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.31 : 28,719.29 = 9,788.90 : x
  2. Step 2: Convert to fraction form
    19,142.31/28,719.29 = 9,788.90/x
  3. Step 3: Cross multiply
    19,142.31x = 28,719.29 × 9,788.90
  4. Step 4: Simplify right side
    19,142.31x = 281,130,257.88
  5. Step 5: Solve for x
    x = 281,130,257.88/19,142.31
  6. Step 6: Final answer
    x = 14,686.33

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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.