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Finding the Fourth Proportional to 23,611.51, 32,582.64 and 12,999.09

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Solution

The fourth proportional to 23,611.51, 32,582.64 and 12,999.09 is: 17,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.51 : 32,582.64 = 12,999.09 : x
  2. Step 2: Convert to fraction form
    23,611.51/32,582.64 = 12,999.09/x
  3. Step 3: Cross multiply
    23,611.51x = 32,582.64 × 12,999.09
  4. Step 4: Simplify right side
    23,611.51x = 423,544,669.80
  5. Step 5: Solve for x
    x = 423,544,669.80/23,611.51
  6. Step 6: Final answer
    x = 17,938.06

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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.