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Finding the Fourth Proportional to 21,507.90, 32,265.93 and 7,467.38

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Solution

The fourth proportional to 21,507.90, 32,265.93 and 7,467.38 is: 11,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.90 : 32,265.93 = 7,467.38 : x
  2. Step 2: Convert to fraction form
    21,507.90/32,265.93 = 7,467.38/x
  3. Step 3: Cross multiply
    21,507.90x = 32,265.93 × 7,467.38
  4. Step 4: Simplify right side
    21,507.90x = 240,941,960.36
  5. Step 5: Solve for x
    x = 240,941,960.36/21,507.90
  6. Step 6: Final answer
    x = 11,202.49

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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.