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Finding the Fourth Proportional to 14,594, 20,135.02 and 8,627.66

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Solution

The fourth proportional to 14,594, 20,135.02 and 8,627.66 is: 11,903.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594 : 20,135.02 = 8,627.66 : x
  2. Step 2: Convert to fraction form
    14,594/20,135.02 = 8,627.66/x
  3. Step 3: Cross multiply
    14,594x = 20,135.02 × 8,627.66
  4. Step 4: Simplify right side
    14,594x = 173,718,106.65
  5. Step 5: Solve for x
    x = 173,718,106.65/14,594
  6. Step 6: Final answer
    x = 11,903.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.