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Finding the Fourth Proportional to 19,122.50, 28,678.26 and 8,031.68

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Solution

The fourth proportional to 19,122.50, 28,678.26 and 8,031.68 is: 12,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.50 : 28,678.26 = 8,031.68 : x
  2. Step 2: Convert to fraction form
    19,122.50/28,678.26 = 8,031.68/x
  3. Step 3: Cross multiply
    19,122.50x = 28,678.26 × 8,031.68
  4. Step 4: Simplify right side
    19,122.50x = 230,334,607.28
  5. Step 5: Solve for x
    x = 230,334,607.28/19,122.50
  6. Step 6: Final answer
    x = 12,045.21

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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.