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Finding the Fourth Proportional to 13,690.29, 18,892.59 and 7,721.94

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Solution

The fourth proportional to 13,690.29, 18,892.59 and 7,721.94 is: 10,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.29 : 18,892.59 = 7,721.94 : x
  2. Step 2: Convert to fraction form
    13,690.29/18,892.59 = 7,721.94/x
  3. Step 3: Cross multiply
    13,690.29x = 18,892.59 × 7,721.94
  4. Step 4: Simplify right side
    13,690.29x = 145,887,446.42
  5. Step 5: Solve for x
    x = 145,887,446.42/13,690.29
  6. Step 6: Final answer
    x = 10,656.27

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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.