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Finding the Fourth Proportional to 21,113, 29,133.42 and 11,680.28

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Solution

The fourth proportional to 21,113, 29,133.42 and 11,680.28 is: 16,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,113 : 29,133.42 = 11,680.28 : x
  2. Step 2: Convert to fraction form
    21,113/29,133.42 = 11,680.28/x
  3. Step 3: Cross multiply
    21,113x = 29,133.42 × 11,680.28
  4. Step 4: Simplify right side
    21,113x = 340,286,502.96
  5. Step 5: Solve for x
    x = 340,286,502.96/21,113
  6. Step 6: Final answer
    x = 16,117.39

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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.