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Finding the Fourth Proportional to 14,615.71, 20,164.75 and 8,323.63

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Solution

The fourth proportional to 14,615.71, 20,164.75 and 8,323.63 is: 11,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.71 : 20,164.75 = 8,323.63 : x
  2. Step 2: Convert to fraction form
    14,615.71/20,164.75 = 8,323.63/x
  3. Step 3: Cross multiply
    14,615.71x = 20,164.75 × 8,323.63
  4. Step 4: Simplify right side
    14,615.71x = 167,843,876.42
  5. Step 5: Solve for x
    x = 167,843,876.42/14,615.71
  6. Step 6: Final answer
    x = 11,483.80

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