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Finding the Fourth Proportional to 12,706.50, 19,063.95 and 4,915.38

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Solution

The fourth proportional to 12,706.50, 19,063.95 and 4,915.38 is: 7,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.50 : 19,063.95 = 4,915.38 : x
  2. Step 2: Convert to fraction form
    12,706.50/19,063.95 = 4,915.38/x
  3. Step 3: Cross multiply
    12,706.50x = 19,063.95 × 4,915.38
  4. Step 4: Simplify right side
    12,706.50x = 93,706,558.55
  5. Step 5: Solve for x
    x = 93,706,558.55/12,706.50
  6. Step 6: Final answer
    x = 7,374.69

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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.