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Finding the Fourth Proportional to 21,748.50, 30,012.96 and 11,812.50

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Solution

The fourth proportional to 21,748.50, 30,012.96 and 11,812.50 is: 16,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748.50 : 30,012.96 = 11,812.50 : x
  2. Step 2: Convert to fraction form
    21,748.50/30,012.96 = 11,812.50/x
  3. Step 3: Cross multiply
    21,748.50x = 30,012.96 × 11,812.50
  4. Step 4: Simplify right side
    21,748.50x = 354,528,090
  5. Step 5: Solve for x
    x = 354,528,090/21,748.50
  6. Step 6: Final answer
    x = 16,301.27

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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.