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Finding the Fourth Proportional to 21,243.76, 29,316 and 11,812.24

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Solution

The fourth proportional to 21,243.76, 29,316 and 11,812.24 is: 16,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.76 : 29,316 = 11,812.24 : x
  2. Step 2: Convert to fraction form
    21,243.76/29,316 = 11,812.24/x
  3. Step 3: Cross multiply
    21,243.76x = 29,316 × 11,812.24
  4. Step 4: Simplify right side
    21,243.76x = 346,287,627.84
  5. Step 5: Solve for x
    x = 346,287,627.84/21,243.76
  6. Step 6: Final answer
    x = 16,300.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.