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Finding the Fourth Proportional to 23,838.58, 32,897.16 and 13,083.64

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Solution

The fourth proportional to 23,838.58, 32,897.16 and 13,083.64 is: 18,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.58 : 32,897.16 = 13,083.64 : x
  2. Step 2: Convert to fraction form
    23,838.58/32,897.16 = 13,083.64/x
  3. Step 3: Cross multiply
    23,838.58x = 32,897.16 × 13,083.64
  4. Step 4: Simplify right side
    23,838.58x = 430,414,516.22
  5. Step 5: Solve for x
    x = 430,414,516.22/23,838.58
  6. Step 6: Final answer
    x = 18,055.38

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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.