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Finding the Fourth Proportional to 23,532, 32,474.16 and 13,596

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Solution

The fourth proportional to 23,532, 32,474.16 and 13,596 is: 18,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532 : 32,474.16 = 13,596 : x
  2. Step 2: Convert to fraction form
    23,532/32,474.16 = 13,596/x
  3. Step 3: Cross multiply
    23,532x = 32,474.16 × 13,596
  4. Step 4: Simplify right side
    23,532x = 441,518,679.36
  5. Step 5: Solve for x
    x = 441,518,679.36/23,532
  6. Step 6: Final answer
    x = 18,762.48

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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.