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Finding the Fourth Proportional to 16,353.68, 24,536.70 and 9,784.49

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Solution

The fourth proportional to 16,353.68, 24,536.70 and 9,784.49 is: 14,680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.68 : 24,536.70 = 9,784.49 : x
  2. Step 2: Convert to fraction form
    16,353.68/24,536.70 = 9,784.49/x
  3. Step 3: Cross multiply
    16,353.68x = 24,536.70 × 9,784.49
  4. Step 4: Simplify right side
    16,353.68x = 240,078,973.10
  5. Step 5: Solve for x
    x = 240,078,973.10/16,353.68
  6. Step 6: Final answer
    x = 14,680.43

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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.