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Finding the Fourth Proportional to 12,358.84, 18,519.94 and 6,497.68

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Solution

The fourth proportional to 12,358.84, 18,519.94 and 6,497.68 is: 9,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.84 : 18,519.94 = 6,497.68 : x
  2. Step 2: Convert to fraction form
    12,358.84/18,519.94 = 6,497.68/x
  3. Step 3: Cross multiply
    12,358.84x = 18,519.94 × 6,497.68
  4. Step 4: Simplify right side
    12,358.84x = 120,336,643.74
  5. Step 5: Solve for x
    x = 120,336,643.74/12,358.84
  6. Step 6: Final answer
    x = 9,736.89

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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.