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Finding the Fourth Proportional to 12,258.69, 16,894 and 8,715.75

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Solution

The fourth proportional to 12,258.69, 16,894 and 8,715.75 is: 12,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258.69 : 16,894 = 8,715.75 : x
  2. Step 2: Convert to fraction form
    12,258.69/16,894 = 8,715.75/x
  3. Step 3: Cross multiply
    12,258.69x = 16,894 × 8,715.75
  4. Step 4: Simplify right side
    12,258.69x = 147,243,880.50
  5. Step 5: Solve for x
    x = 147,243,880.50/12,258.69
  6. Step 6: Final answer
    x = 12,011.39

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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.