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Finding the Fourth Proportional to 19,189.77, 28,731.50 and 9,809.58

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Solution

The fourth proportional to 19,189.77, 28,731.50 and 9,809.58 is: 14,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.77 : 28,731.50 = 9,809.58 : x
  2. Step 2: Convert to fraction form
    19,189.77/28,731.50 = 9,809.58/x
  3. Step 3: Cross multiply
    19,189.77x = 28,731.50 × 9,809.58
  4. Step 4: Simplify right side
    19,189.77x = 281,843,898.72
  5. Step 5: Solve for x
    x = 281,843,898.72/19,189.77
  6. Step 6: Final answer
    x = 14,687.20

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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.