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Finding the Fourth Proportional to 12,877.86, 19,315.29 and 3,517.50

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Solution

The fourth proportional to 12,877.86, 19,315.29 and 3,517.50 is: 5,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.86 : 19,315.29 = 3,517.50 : x
  2. Step 2: Convert to fraction form
    12,877.86/19,315.29 = 3,517.50/x
  3. Step 3: Cross multiply
    12,877.86x = 19,315.29 × 3,517.50
  4. Step 4: Simplify right side
    12,877.86x = 67,941,532.58
  5. Step 5: Solve for x
    x = 67,941,532.58/12,877.86
  6. Step 6: Final answer
    x = 5,275.84

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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.