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Finding the Fourth Proportional to 21,270, 29,352.60 and 11,838.57

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Solution

The fourth proportional to 21,270, 29,352.60 and 11,838.57 is: 16,337.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,270 : 29,352.60 = 11,838.57 : x
  2. Step 2: Convert to fraction form
    21,270/29,352.60 = 11,838.57/x
  3. Step 3: Cross multiply
    21,270x = 29,352.60 × 11,838.57
  4. Step 4: Simplify right side
    21,270x = 347,492,809.78
  5. Step 5: Solve for x
    x = 347,492,809.78/21,270
  6. Step 6: Final answer
    x = 16,337.23

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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.