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Finding the Fourth Proportional to 19,328.24, 28,978.16 and 6,173.02

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Solution

The fourth proportional to 19,328.24, 28,978.16 and 6,173.02 is: 9,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,328.24 : 28,978.16 = 6,173.02 : x
  2. Step 2: Convert to fraction form
    19,328.24/28,978.16 = 6,173.02/x
  3. Step 3: Cross multiply
    19,328.24x = 28,978.16 × 6,173.02
  4. Step 4: Simplify right side
    19,328.24x = 178,882,761.24
  5. Step 5: Solve for x
    x = 178,882,761.24/19,328.24
  6. Step 6: Final answer
    x = 9,254.99

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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.