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Finding the Fourth Proportional to 20,038.47, 30,028.95 and 11,254.91

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Solution

The fourth proportional to 20,038.47, 30,028.95 and 11,254.91 is: 16,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.47 : 30,028.95 = 11,254.91 : x
  2. Step 2: Convert to fraction form
    20,038.47/30,028.95 = 11,254.91/x
  3. Step 3: Cross multiply
    20,038.47x = 30,028.95 × 11,254.91
  4. Step 4: Simplify right side
    20,038.47x = 337,972,979.50
  5. Step 5: Solve for x
    x = 337,972,979.50/20,038.47
  6. Step 6: Final answer
    x = 16,866.21

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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.