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Finding the Fourth Proportional to 14,612.67, 20,164.95 and 8,323.83

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Solution

The fourth proportional to 14,612.67, 20,164.95 and 8,323.83 is: 11,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.67 : 20,164.95 = 8,323.83 : x
  2. Step 2: Convert to fraction form
    14,612.67/20,164.95 = 8,323.83/x
  3. Step 3: Cross multiply
    14,612.67x = 20,164.95 × 8,323.83
  4. Step 4: Simplify right side
    14,612.67x = 167,849,615.76
  5. Step 5: Solve for x
    x = 167,849,615.76/14,612.67
  6. Step 6: Final answer
    x = 11,486.58

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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.