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Finding the Fourth Proportional to 12,915.50, 19,342.49 and 8,970.69

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Solution

The fourth proportional to 12,915.50, 19,342.49 and 8,970.69 is: 13,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,915.50 : 19,342.49 = 8,970.69 : x
  2. Step 2: Convert to fraction form
    12,915.50/19,342.49 = 8,970.69/x
  3. Step 3: Cross multiply
    12,915.50x = 19,342.49 × 8,970.69
  4. Step 4: Simplify right side
    12,915.50x = 173,515,436.76
  5. Step 5: Solve for x
    x = 173,515,436.76/12,915.50
  6. Step 6: Final answer
    x = 13,434.67

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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.