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Finding the Fourth Proportional to 16,544.64, 24,784.08 and 7,752.90

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Solution

The fourth proportional to 16,544.64, 24,784.08 and 7,752.90 is: 11,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.64 : 24,784.08 = 7,752.90 : x
  2. Step 2: Convert to fraction form
    16,544.64/24,784.08 = 7,752.90/x
  3. Step 3: Cross multiply
    16,544.64x = 24,784.08 × 7,752.90
  4. Step 4: Simplify right side
    16,544.64x = 192,148,493.83
  5. Step 5: Solve for x
    x = 192,148,493.83/16,544.64
  6. Step 6: Final answer
    x = 11,613.94

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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.