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Finding the Fourth Proportional to 19,885.45, 29,827.49 and 5,094.50

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Solution

The fourth proportional to 19,885.45, 29,827.49 and 5,094.50 is: 7,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,885.45 : 29,827.49 = 5,094.50 : x
  2. Step 2: Convert to fraction form
    19,885.45/29,827.49 = 5,094.50/x
  3. Step 3: Cross multiply
    19,885.45x = 29,827.49 × 5,094.50
  4. Step 4: Simplify right side
    19,885.45x = 151,956,147.81
  5. Step 5: Solve for x
    x = 151,956,147.81/19,885.45
  6. Step 6: Final answer
    x = 7,641.57

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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.