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Finding the Fourth Proportional to 21,411.66, 29,548.89 and 11,980.29

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Solution

The fourth proportional to 21,411.66, 29,548.89 and 11,980.29 is: 16,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.66 : 29,548.89 = 11,980.29 : x
  2. Step 2: Convert to fraction form
    21,411.66/29,548.89 = 11,980.29/x
  3. Step 3: Cross multiply
    21,411.66x = 29,548.89 × 11,980.29
  4. Step 4: Simplify right side
    21,411.66x = 354,004,271.38
  5. Step 5: Solve for x
    x = 354,004,271.38/21,411.66
  6. Step 6: Final answer
    x = 16,533.25

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Why These Related Problems?

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