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Finding the Fourth Proportional to 13,658.25, 18,848.75 and 7,690.14

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Solution

The fourth proportional to 13,658.25, 18,848.75 and 7,690.14 is: 10,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.25 : 18,848.75 = 7,690.14 : x
  2. Step 2: Convert to fraction form
    13,658.25/18,848.75 = 7,690.14/x
  3. Step 3: Cross multiply
    13,658.25x = 18,848.75 × 7,690.14
  4. Step 4: Simplify right side
    13,658.25x = 144,949,487.87
  5. Step 5: Solve for x
    x = 144,949,487.87/13,658.25
  6. Step 6: Final answer
    x = 10,612.59

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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.