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Finding the Fourth Proportional to 14,972.68, 20,662.98 and 8,258.38

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Solution

The fourth proportional to 14,972.68, 20,662.98 and 8,258.38 is: 11,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.68 : 20,662.98 = 8,258.38 : x
  2. Step 2: Convert to fraction form
    14,972.68/20,662.98 = 8,258.38/x
  3. Step 3: Cross multiply
    14,972.68x = 20,662.98 × 8,258.38
  4. Step 4: Simplify right side
    14,972.68x = 170,642,740.77
  5. Step 5: Solve for x
    x = 170,642,740.77/14,972.68
  6. Step 6: Final answer
    x = 11,396.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.