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Finding the Fourth Proportional to 21,214.71, 29,277.18 and 11,783.25

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Solution

The fourth proportional to 21,214.71, 29,277.18 and 11,783.25 is: 16,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.71 : 29,277.18 = 11,783.25 : x
  2. Step 2: Convert to fraction form
    21,214.71/29,277.18 = 11,783.25/x
  3. Step 3: Cross multiply
    21,214.71x = 29,277.18 × 11,783.25
  4. Step 4: Simplify right side
    21,214.71x = 344,980,331.24
  5. Step 5: Solve for x
    x = 344,980,331.24/21,214.71
  6. Step 6: Final answer
    x = 16,261.37

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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.