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Finding the Fourth Proportional to 30,011.85, 41,416.11 and 16,584.01

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Solution

The fourth proportional to 30,011.85, 41,416.11 and 16,584.01 is: 22,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.85 : 41,416.11 = 16,584.01 : x
  2. Step 2: Convert to fraction form
    30,011.85/41,416.11 = 16,584.01/x
  3. Step 3: Cross multiply
    30,011.85x = 41,416.11 × 16,584.01
  4. Step 4: Simplify right side
    30,011.85x = 686,845,078.86
  5. Step 5: Solve for x
    x = 686,845,078.86/30,011.85
  6. Step 6: Final answer
    x = 22,885.80

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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.