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Finding the Fourth Proportional to 14,248.56, 19,657.44 and 8,279.16

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Solution

The fourth proportional to 14,248.56, 19,657.44 and 8,279.16 is: 11,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,248.56 : 19,657.44 = 8,279.16 : x
  2. Step 2: Convert to fraction form
    14,248.56/19,657.44 = 8,279.16/x
  3. Step 3: Cross multiply
    14,248.56x = 19,657.44 × 8,279.16
  4. Step 4: Simplify right side
    14,248.56x = 162,747,090.95
  5. Step 5: Solve for x
    x = 162,747,090.95/14,248.56
  6. Step 6: Final answer
    x = 11,422.00

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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.