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Finding the Fourth Proportional to 21,188.96, 29,232.28 and 13,634

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Solution

The fourth proportional to 21,188.96, 29,232.28 and 13,634 is: 18,809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.96 : 29,232.28 = 13,634 : x
  2. Step 2: Convert to fraction form
    21,188.96/29,232.28 = 13,634/x
  3. Step 3: Cross multiply
    21,188.96x = 29,232.28 × 13,634
  4. Step 4: Simplify right side
    21,188.96x = 398,552,905.52
  5. Step 5: Solve for x
    x = 398,552,905.52/21,188.96
  6. Step 6: Final answer
    x = 18,809.46

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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.