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Finding the Fourth Proportional to 16,827.30, 25,228.80 and 9,434.03

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Solution

The fourth proportional to 16,827.30, 25,228.80 and 9,434.03 is: 14,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.30 : 25,228.80 = 9,434.03 : x
  2. Step 2: Convert to fraction form
    16,827.30/25,228.80 = 9,434.03/x
  3. Step 3: Cross multiply
    16,827.30x = 25,228.80 × 9,434.03
  4. Step 4: Simplify right side
    16,827.30x = 238,009,129.92
  5. Step 5: Solve for x
    x = 238,009,129.92/16,827.30
  6. Step 6: Final answer
    x = 14,144.23

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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.