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Finding the Fourth Proportional to 21,893.72, 32,837.50 and 7,102.77

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Solution

The fourth proportional to 21,893.72, 32,837.50 and 7,102.77 is: 10,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,893.72 : 32,837.50 = 7,102.77 : x
  2. Step 2: Convert to fraction form
    21,893.72/32,837.50 = 7,102.77/x
  3. Step 3: Cross multiply
    21,893.72x = 32,837.50 × 7,102.77
  4. Step 4: Simplify right side
    21,893.72x = 233,237,055.66
  5. Step 5: Solve for x
    x = 233,237,055.66/21,893.72
  6. Step 6: Final answer
    x = 10,653.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.