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Finding the Fourth Proportional to 14,657, 20,226.66 and 8,033

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Solution

The fourth proportional to 14,657, 20,226.66 and 8,033 is: 11,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657 : 20,226.66 = 8,033 : x
  2. Step 2: Convert to fraction form
    14,657/20,226.66 = 8,033/x
  3. Step 3: Cross multiply
    14,657x = 20,226.66 × 8,033
  4. Step 4: Simplify right side
    14,657x = 162,480,759.78
  5. Step 5: Solve for x
    x = 162,480,759.78/14,657
  6. Step 6: Final answer
    x = 11,085.54

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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.