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Finding the Fourth Proportional to 14,157.06, 21,213.45 and 8,952

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Solution

The fourth proportional to 14,157.06, 21,213.45 and 8,952 is: 13,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.06 : 21,213.45 = 8,952 : x
  2. Step 2: Convert to fraction form
    14,157.06/21,213.45 = 8,952/x
  3. Step 3: Cross multiply
    14,157.06x = 21,213.45 × 8,952
  4. Step 4: Simplify right side
    14,157.06x = 189,902,804.40
  5. Step 5: Solve for x
    x = 189,902,804.40/14,157.06
  6. Step 6: Final answer
    x = 13,414.00

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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.