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Finding the Fourth Proportional to 18,552.98, 25,627.65 and 13,829.06

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Solution

The fourth proportional to 18,552.98, 25,627.65 and 13,829.06 is: 19,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,552.98 : 25,627.65 = 13,829.06 : x
  2. Step 2: Convert to fraction form
    18,552.98/25,627.65 = 13,829.06/x
  3. Step 3: Cross multiply
    18,552.98x = 25,627.65 × 13,829.06
  4. Step 4: Simplify right side
    18,552.98x = 354,406,309.51
  5. Step 5: Solve for x
    x = 354,406,309.51/18,552.98
  6. Step 6: Final answer
    x = 19,102.39

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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.