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Finding the Fourth Proportional to 23,556, 32,505.36 and 13,482.14

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Solution

The fourth proportional to 23,556, 32,505.36 and 13,482.14 is: 18,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,556 : 32,505.36 = 13,482.14 : x
  2. Step 2: Convert to fraction form
    23,556/32,505.36 = 13,482.14/x
  3. Step 3: Cross multiply
    23,556x = 32,505.36 × 13,482.14
  4. Step 4: Simplify right side
    23,556x = 438,241,814.27
  5. Step 5: Solve for x
    x = 438,241,814.27/23,556
  6. Step 6: Final answer
    x = 18,604.25

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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.