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Finding the Fourth Proportional to 23,894.25, 32,971.09 and 13,282.53

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Solution

The fourth proportional to 23,894.25, 32,971.09 and 13,282.53 is: 18,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.25 : 32,971.09 = 13,282.53 : x
  2. Step 2: Convert to fraction form
    23,894.25/32,971.09 = 13,282.53/x
  3. Step 3: Cross multiply
    23,894.25x = 32,971.09 × 13,282.53
  4. Step 4: Simplify right side
    23,894.25x = 437,939,492.06
  5. Step 5: Solve for x
    x = 437,939,492.06/23,894.25
  6. Step 6: Final answer
    x = 18,328.24

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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.