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Finding the Fourth Proportional to 16,090.71, 24,140.16 and 8,685

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Solution

The fourth proportional to 16,090.71, 24,140.16 and 8,685 is: 13,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.71 : 24,140.16 = 8,685 : x
  2. Step 2: Convert to fraction form
    16,090.71/24,140.16 = 8,685/x
  3. Step 3: Cross multiply
    16,090.71x = 24,140.16 × 8,685
  4. Step 4: Simplify right side
    16,090.71x = 209,657,289.60
  5. Step 5: Solve for x
    x = 209,657,289.60/16,090.71
  6. Step 6: Final answer
    x = 13,029.71

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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.