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Finding the Fourth Proportional to 14,619.60, 21,894.76 and 8,383

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Solution

The fourth proportional to 14,619.60, 21,894.76 and 8,383 is: 12,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,619.60 : 21,894.76 = 8,383 : x
  2. Step 2: Convert to fraction form
    14,619.60/21,894.76 = 8,383/x
  3. Step 3: Cross multiply
    14,619.60x = 21,894.76 × 8,383
  4. Step 4: Simplify right side
    14,619.60x = 183,543,773.08
  5. Step 5: Solve for x
    x = 183,543,773.08/14,619.60
  6. Step 6: Final answer
    x = 12,554.64

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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.