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Finding the Fourth Proportional to 21,150, 31,725.51 and 7,110.21

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Solution

The fourth proportional to 21,150, 31,725.51 and 7,110.21 is: 10,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150 : 31,725.51 = 7,110.21 : x
  2. Step 2: Convert to fraction form
    21,150/31,725.51 = 7,110.21/x
  3. Step 3: Cross multiply
    21,150x = 31,725.51 × 7,110.21
  4. Step 4: Simplify right side
    21,150x = 225,575,038.46
  5. Step 5: Solve for x
    x = 225,575,038.46/21,150
  6. Step 6: Final answer
    x = 10,665.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.