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Finding the Fourth Proportional to 16,184, 24,275.96 and 9,253.64

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Solution

The fourth proportional to 16,184, 24,275.96 and 9,253.64 is: 13,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184 : 24,275.96 = 9,253.64 : x
  2. Step 2: Convert to fraction form
    16,184/24,275.96 = 9,253.64/x
  3. Step 3: Cross multiply
    16,184x = 24,275.96 × 9,253.64
  4. Step 4: Simplify right side
    16,184x = 224,640,994.49
  5. Step 5: Solve for x
    x = 224,640,994.49/16,184
  6. Step 6: Final answer
    x = 13,880.44

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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.