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Finding the Fourth Proportional to 19,658.22, 29,486.99 and 4,867.14

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Solution

The fourth proportional to 19,658.22, 29,486.99 and 4,867.14 is: 7,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.22 : 29,486.99 = 4,867.14 : x
  2. Step 2: Convert to fraction form
    19,658.22/29,486.99 = 4,867.14/x
  3. Step 3: Cross multiply
    19,658.22x = 29,486.99 × 4,867.14
  4. Step 4: Simplify right side
    19,658.22x = 143,517,284.17
  5. Step 5: Solve for x
    x = 143,517,284.17/19,658.22
  6. Step 6: Final answer
    x = 7,300.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.