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Finding the Fourth Proportional to 14,959.14, 20,641.93 and 8,584.03

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Solution

The fourth proportional to 14,959.14, 20,641.93 and 8,584.03 is: 11,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,959.14 : 20,641.93 = 8,584.03 : x
  2. Step 2: Convert to fraction form
    14,959.14/20,641.93 = 8,584.03/x
  3. Step 3: Cross multiply
    14,959.14x = 20,641.93 × 8,584.03
  4. Step 4: Simplify right side
    14,959.14x = 177,190,946.38
  5. Step 5: Solve for x
    x = 177,190,946.38/14,959.14
  6. Step 6: Final answer
    x = 11,845.00

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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.