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Finding the Fourth Proportional to 30,003.81, 41,405.09 and 16,575

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Solution

The fourth proportional to 30,003.81, 41,405.09 and 16,575 is: 22,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,003.81 : 41,405.09 = 16,575 : x
  2. Step 2: Convert to fraction form
    30,003.81/41,405.09 = 16,575/x
  3. Step 3: Cross multiply
    30,003.81x = 41,405.09 × 16,575
  4. Step 4: Simplify right side
    30,003.81x = 686,289,283.88
  5. Step 5: Solve for x
    x = 686,289,283.88/30,003.81
  6. Step 6: Final answer
    x = 22,873.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.