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Finding the Fourth Proportional to 13,658.37, 18,848.25 and 7,690.70

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Solution

The fourth proportional to 13,658.37, 18,848.25 and 7,690.70 is: 10,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.37 : 18,848.25 = 7,690.70 : x
  2. Step 2: Convert to fraction form
    13,658.37/18,848.25 = 7,690.70/x
  3. Step 3: Cross multiply
    13,658.37x = 18,848.25 × 7,690.70
  4. Step 4: Simplify right side
    13,658.37x = 144,956,142.03
  5. Step 5: Solve for x
    x = 144,956,142.03/13,658.37
  6. Step 6: Final answer
    x = 10,612.99

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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.