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Finding the Fourth Proportional to 16,774.56, 25,138 and 12,357.28

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Solution

The fourth proportional to 16,774.56, 25,138 and 12,357.28 is: 18,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.56 : 25,138 = 12,357.28 : x
  2. Step 2: Convert to fraction form
    16,774.56/25,138 = 12,357.28/x
  3. Step 3: Cross multiply
    16,774.56x = 25,138 × 12,357.28
  4. Step 4: Simplify right side
    16,774.56x = 310,637,304.64
  5. Step 5: Solve for x
    x = 310,637,304.64/16,774.56
  6. Step 6: Final answer
    x = 18,518.36

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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.