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Finding the Fourth Proportional to 14,649.01, 21,971.77 and 3,829.03

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Solution

The fourth proportional to 14,649.01, 21,971.77 and 3,829.03 is: 5,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.01 : 21,971.77 = 3,829.03 : x
  2. Step 2: Convert to fraction form
    14,649.01/21,971.77 = 3,829.03/x
  3. Step 3: Cross multiply
    14,649.01x = 21,971.77 × 3,829.03
  4. Step 4: Simplify right side
    14,649.01x = 84,130,437.48
  5. Step 5: Solve for x
    x = 84,130,437.48/14,649.01
  6. Step 6: Final answer
    x = 5,743.08

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