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Finding the Fourth Proportional to 16,836, 25,257.24 and 7,602

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Solution

The fourth proportional to 16,836, 25,257.24 and 7,602 is: 11,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,836 : 25,257.24 = 7,602 : x
  2. Step 2: Convert to fraction form
    16,836/25,257.24 = 7,602/x
  3. Step 3: Cross multiply
    16,836x = 25,257.24 × 7,602
  4. Step 4: Simplify right side
    16,836x = 192,005,538.48
  5. Step 5: Solve for x
    x = 192,005,538.48/16,836
  6. Step 6: Final answer
    x = 11,404.46

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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.