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Finding the Fourth Proportional to 28,405.74, 42,614.70 and 8,685.75

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Solution

The fourth proportional to 28,405.74, 42,614.70 and 8,685.75 is: 13,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,405.74 : 42,614.70 = 8,685.75 : x
  2. Step 2: Convert to fraction form
    28,405.74/42,614.70 = 8,685.75/x
  3. Step 3: Cross multiply
    28,405.74x = 42,614.70 × 8,685.75
  4. Step 4: Simplify right side
    28,405.74x = 370,140,630.53
  5. Step 5: Solve for x
    x = 370,140,630.53/28,405.74
  6. Step 6: Final answer
    x = 13,030.49

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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.