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Finding the Fourth Proportional to 21,533.84, 32,231.50 and 11,513.58

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Solution

The fourth proportional to 21,533.84, 32,231.50 and 11,513.58 is: 17,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.84 : 32,231.50 = 11,513.58 : x
  2. Step 2: Convert to fraction form
    21,533.84/32,231.50 = 11,513.58/x
  3. Step 3: Cross multiply
    21,533.84x = 32,231.50 × 11,513.58
  4. Step 4: Simplify right side
    21,533.84x = 371,099,953.77
  5. Step 5: Solve for x
    x = 371,099,953.77/21,533.84
  6. Step 6: Final answer
    x = 17,233.34

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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.