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Finding the Fourth Proportional to 30,011.34, 41,416.49 and 16,583.47

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Solution

The fourth proportional to 30,011.34, 41,416.49 and 16,583.47 is: 22,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.34 : 41,416.49 = 16,583.47 : x
  2. Step 2: Convert to fraction form
    30,011.34/41,416.49 = 16,583.47/x
  3. Step 3: Cross multiply
    30,011.34x = 41,416.49 × 16,583.47
  4. Step 4: Simplify right side
    30,011.34x = 686,829,057.34
  5. Step 5: Solve for x
    x = 686,829,057.34/30,011.34
  6. Step 6: Final answer
    x = 22,885.65

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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.