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Finding the Fourth Proportional to 25,025.04, 34,533 and 13,847.28

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Solution

The fourth proportional to 25,025.04, 34,533 and 13,847.28 is: 19,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,025.04 : 34,533 = 13,847.28 : x
  2. Step 2: Convert to fraction form
    25,025.04/34,533 = 13,847.28/x
  3. Step 3: Cross multiply
    25,025.04x = 34,533 × 13,847.28
  4. Step 4: Simplify right side
    25,025.04x = 478,188,120.24
  5. Step 5: Solve for x
    x = 478,188,120.24/25,025.04
  6. Step 6: Final answer
    x = 19,108.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.