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Finding the Fourth Proportional to 28,461.88, 42,698.28 and 12,879.50

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Solution

The fourth proportional to 28,461.88, 42,698.28 and 12,879.50 is: 19,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461.88 : 42,698.28 = 12,879.50 : x
  2. Step 2: Convert to fraction form
    28,461.88/42,698.28 = 12,879.50/x
  3. Step 3: Cross multiply
    28,461.88x = 42,698.28 × 12,879.50
  4. Step 4: Simplify right side
    28,461.88x = 549,932,497.26
  5. Step 5: Solve for x
    x = 549,932,497.26/28,461.88
  6. Step 6: Final answer
    x = 19,321.72

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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.