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Finding the Fourth Proportional to 16,223.52, 24,335 and 4,536.58

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Solution

The fourth proportional to 16,223.52, 24,335 and 4,536.58 is: 6,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.52 : 24,335 = 4,536.58 : x
  2. Step 2: Convert to fraction form
    16,223.52/24,335 = 4,536.58/x
  3. Step 3: Cross multiply
    16,223.52x = 24,335 × 4,536.58
  4. Step 4: Simplify right side
    16,223.52x = 110,397,674.30
  5. Step 5: Solve for x
    x = 110,397,674.30/16,223.52
  6. Step 6: Final answer
    x = 6,804.79

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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.