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Finding the Fourth Proportional to 21,504.69, 32,249.75 and 7,461.01

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Solution

The fourth proportional to 21,504.69, 32,249.75 and 7,461.01 is: 11,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504.69 : 32,249.75 = 7,461.01 : x
  2. Step 2: Convert to fraction form
    21,504.69/32,249.75 = 7,461.01/x
  3. Step 3: Cross multiply
    21,504.69x = 32,249.75 × 7,461.01
  4. Step 4: Simplify right side
    21,504.69x = 240,615,710.25
  5. Step 5: Solve for x
    x = 240,615,710.25/21,504.69
  6. Step 6: Final answer
    x = 11,188.99

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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.