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Finding the Fourth Proportional to 21,107.54, 29,133.24 and 12,160.22

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Solution

The fourth proportional to 21,107.54, 29,133.24 and 12,160.22 is: 16,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.54 : 29,133.24 = 12,160.22 : x
  2. Step 2: Convert to fraction form
    21,107.54/29,133.24 = 12,160.22/x
  3. Step 3: Cross multiply
    21,107.54x = 29,133.24 × 12,160.22
  4. Step 4: Simplify right side
    21,107.54x = 354,266,607.71
  5. Step 5: Solve for x
    x = 354,266,607.71/21,107.54
  6. Step 6: Final answer
    x = 16,783.89

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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.