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Finding the Fourth Proportional to 21,688.50, 32,537.34 and 12,333

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Solution

The fourth proportional to 21,688.50, 32,537.34 and 12,333 is: 18,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.50 : 32,537.34 = 12,333 : x
  2. Step 2: Convert to fraction form
    21,688.50/32,537.34 = 12,333/x
  3. Step 3: Cross multiply
    21,688.50x = 32,537.34 × 12,333
  4. Step 4: Simplify right side
    21,688.50x = 401,283,014.22
  5. Step 5: Solve for x
    x = 401,283,014.22/21,688.50
  6. Step 6: Final answer
    x = 18,502.11

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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.