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Finding the Fourth Proportional to 13,282.88, 18,337.74 and 7,979

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Solution

The fourth proportional to 13,282.88, 18,337.74 and 7,979 is: 11,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.88 : 18,337.74 = 7,979 : x
  2. Step 2: Convert to fraction form
    13,282.88/18,337.74 = 7,979/x
  3. Step 3: Cross multiply
    13,282.88x = 18,337.74 × 7,979
  4. Step 4: Simplify right side
    13,282.88x = 146,316,827.46
  5. Step 5: Solve for x
    x = 146,316,827.46/13,282.88
  6. Step 6: Final answer
    x = 11,015.44

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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.