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Finding the Fourth Proportional to 23,532, 32,475 and 12,921.52

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Solution

The fourth proportional to 23,532, 32,475 and 12,921.52 is: 17,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532 : 32,475 = 12,921.52 : x
  2. Step 2: Convert to fraction form
    23,532/32,475 = 12,921.52/x
  3. Step 3: Cross multiply
    23,532x = 32,475 × 12,921.52
  4. Step 4: Simplify right side
    23,532x = 419,626,362
  5. Step 5: Solve for x
    x = 419,626,362/23,532
  6. Step 6: Final answer
    x = 17,832.16

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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.