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Finding the Fourth Proportional to 23,810, 32,842.98 and 15,323.20

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Solution

The fourth proportional to 23,810, 32,842.98 and 15,323.20 is: 21,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810 : 32,842.98 = 15,323.20 : x
  2. Step 2: Convert to fraction form
    23,810/32,842.98 = 15,323.20/x
  3. Step 3: Cross multiply
    23,810x = 32,842.98 × 15,323.20
  4. Step 4: Simplify right side
    23,810x = 503,259,551.14
  5. Step 5: Solve for x
    x = 503,259,551.14/23,810
  6. Step 6: Final answer
    x = 21,136.48

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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.