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Finding the Fourth Proportional to 19,096.80, 28,652.40 and 9,244.80

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Solution

The fourth proportional to 19,096.80, 28,652.40 and 9,244.80 is: 13,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,096.80 : 28,652.40 = 9,244.80 : x
  2. Step 2: Convert to fraction form
    19,096.80/28,652.40 = 9,244.80/x
  3. Step 3: Cross multiply
    19,096.80x = 28,652.40 × 9,244.80
  4. Step 4: Simplify right side
    19,096.80x = 264,885,707.52
  5. Step 5: Solve for x
    x = 264,885,707.52/19,096.80
  6. Step 6: Final answer
    x = 13,870.69

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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.