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Finding the Fourth Proportional to 14,416.46, 19,896.26 and 8,453.15

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Solution

The fourth proportional to 14,416.46, 19,896.26 and 8,453.15 is: 11,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.46 : 19,896.26 = 8,453.15 : x
  2. Step 2: Convert to fraction form
    14,416.46/19,896.26 = 8,453.15/x
  3. Step 3: Cross multiply
    14,416.46x = 19,896.26 × 8,453.15
  4. Step 4: Simplify right side
    14,416.46x = 168,185,928.47
  5. Step 5: Solve for x
    x = 168,185,928.47/14,416.46
  6. Step 6: Final answer
    x = 11,666.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.