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Finding the Fourth Proportional to 12,762.56, 19,152.56 and 4,442.50

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Solution

The fourth proportional to 12,762.56, 19,152.56 and 4,442.50 is: 6,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.56 : 19,152.56 = 4,442.50 : x
  2. Step 2: Convert to fraction form
    12,762.56/19,152.56 = 4,442.50/x
  3. Step 3: Cross multiply
    12,762.56x = 19,152.56 × 4,442.50
  4. Step 4: Simplify right side
    12,762.56x = 85,085,247.80
  5. Step 5: Solve for x
    x = 85,085,247.80/12,762.56
  6. Step 6: Final answer
    x = 6,666.79

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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.