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Finding the Fourth Proportional to 25,509, 35,186.54 and 17,537.39

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Solution

The fourth proportional to 25,509, 35,186.54 and 17,537.39 is: 24,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509 : 35,186.54 = 17,537.39 : x
  2. Step 2: Convert to fraction form
    25,509/35,186.54 = 17,537.39/x
  3. Step 3: Cross multiply
    25,509x = 35,186.54 × 17,537.39
  4. Step 4: Simplify right side
    25,509x = 617,079,811.11
  5. Step 5: Solve for x
    x = 617,079,811.11/25,509
  6. Step 6: Final answer
    x = 24,190.67

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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.