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Finding the Fourth Proportional to 21,366.53, 32,029.64 and 7,507.97

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Solution

The fourth proportional to 21,366.53, 32,029.64 and 7,507.97 is: 11,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366.53 : 32,029.64 = 7,507.97 : x
  2. Step 2: Convert to fraction form
    21,366.53/32,029.64 = 7,507.97/x
  3. Step 3: Cross multiply
    21,366.53x = 32,029.64 × 7,507.97
  4. Step 4: Simplify right side
    21,366.53x = 240,477,538.69
  5. Step 5: Solve for x
    x = 240,477,538.69/21,366.53
  6. Step 6: Final answer
    x = 11,254.87

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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.