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Finding the Fourth Proportional to 23,482, 32,408.04 and 13,546

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Solution

The fourth proportional to 23,482, 32,408.04 and 13,546 is: 18,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482 : 32,408.04 = 13,546 : x
  2. Step 2: Convert to fraction form
    23,482/32,408.04 = 13,546/x
  3. Step 3: Cross multiply
    23,482x = 32,408.04 × 13,546
  4. Step 4: Simplify right side
    23,482x = 438,999,309.84
  5. Step 5: Solve for x
    x = 438,999,309.84/23,482
  6. Step 6: Final answer
    x = 18,695.14

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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.