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Finding the Fourth Proportional to 14,653.64, 21,976.14 and 8,412.56

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Solution

The fourth proportional to 14,653.64, 21,976.14 and 8,412.56 is: 12,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.64 : 21,976.14 = 8,412.56 : x
  2. Step 2: Convert to fraction form
    14,653.64/21,976.14 = 8,412.56/x
  3. Step 3: Cross multiply
    14,653.64x = 21,976.14 × 8,412.56
  4. Step 4: Simplify right side
    14,653.64x = 184,875,596.32
  5. Step 5: Solve for x
    x = 184,875,596.32/14,653.64
  6. Step 6: Final answer
    x = 12,616.36

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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.