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Finding the Fourth Proportional to 12,907.50, 19,369.88 and 5,513.68

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Solution

The fourth proportional to 12,907.50, 19,369.88 and 5,513.68 is: 8,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.50 : 19,369.88 = 5,513.68 : x
  2. Step 2: Convert to fraction form
    12,907.50/19,369.88 = 5,513.68/x
  3. Step 3: Cross multiply
    12,907.50x = 19,369.88 × 5,513.68
  4. Step 4: Simplify right side
    12,907.50x = 106,799,319.96
  5. Step 5: Solve for x
    x = 106,799,319.96/12,907.50
  6. Step 6: Final answer
    x = 8,274.21

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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.