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Finding the Fourth Proportional to 19,096.80, 28,647.08 and 5,056.80

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Solution

The fourth proportional to 19,096.80, 28,647.08 and 5,056.80 is: 7,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096.80 : 28,647.08 = 5,056.80 : x
  2. Step 2: Convert to fraction form
    19,096.80/28,647.08 = 5,056.80/x
  3. Step 3: Cross multiply
    19,096.80x = 28,647.08 × 5,056.80
  4. Step 4: Simplify right side
    19,096.80x = 144,862,554.14
  5. Step 5: Solve for x
    x = 144,862,554.14/19,096.80
  6. Step 6: Final answer
    x = 7,585.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.