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Finding the Fourth Proportional to 17,096.50, 25,646.19 and 4,784.50

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Solution

The fourth proportional to 17,096.50, 25,646.19 and 4,784.50 is: 7,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.50 : 25,646.19 = 4,784.50 : x
  2. Step 2: Convert to fraction form
    17,096.50/25,646.19 = 4,784.50/x
  3. Step 3: Cross multiply
    17,096.50x = 25,646.19 × 4,784.50
  4. Step 4: Simplify right side
    17,096.50x = 122,704,196.06
  5. Step 5: Solve for x
    x = 122,704,196.06/17,096.50
  6. Step 6: Final answer
    x = 7,177.15

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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.