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Finding the Fourth Proportional to 12,436.32, 18,645.84 and 6,276

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Solution

The fourth proportional to 12,436.32, 18,645.84 and 6,276 is: 9,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.32 : 18,645.84 = 6,276 : x
  2. Step 2: Convert to fraction form
    12,436.32/18,645.84 = 6,276/x
  3. Step 3: Cross multiply
    12,436.32x = 18,645.84 × 6,276
  4. Step 4: Simplify right side
    12,436.32x = 117,021,291.84
  5. Step 5: Solve for x
    x = 117,021,291.84/12,436.32
  6. Step 6: Final answer
    x = 9,409.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.