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Finding the Fourth Proportional to 23,480, 32,405.28 and 13,544

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Solution

The fourth proportional to 23,480, 32,405.28 and 13,544 is: 18,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480 : 32,405.28 = 13,544 : x
  2. Step 2: Convert to fraction form
    23,480/32,405.28 = 13,544/x
  3. Step 3: Cross multiply
    23,480x = 32,405.28 × 13,544
  4. Step 4: Simplify right side
    23,480x = 438,897,112.32
  5. Step 5: Solve for x
    x = 438,897,112.32/23,480
  6. Step 6: Final answer
    x = 18,692.38

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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.