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Finding the Fourth Proportional to 16,429.08, 24,643.08 and 4,743.48

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Solution

The fourth proportional to 16,429.08, 24,643.08 and 4,743.48 is: 7,115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.08 : 24,643.08 = 4,743.48 : x
  2. Step 2: Convert to fraction form
    16,429.08/24,643.08 = 4,743.48/x
  3. Step 3: Cross multiply
    16,429.08x = 24,643.08 × 4,743.48
  4. Step 4: Simplify right side
    16,429.08x = 116,893,957.12
  5. Step 5: Solve for x
    x = 116,893,957.12/16,429.08
  6. Step 6: Final answer
    x = 7,115.06

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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.