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Finding the Fourth Proportional to 14,823.44, 20,468.13 and 9,166.40

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Solution

The fourth proportional to 14,823.44, 20,468.13 and 9,166.40 is: 12,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.44 : 20,468.13 = 9,166.40 : x
  2. Step 2: Convert to fraction form
    14,823.44/20,468.13 = 9,166.40/x
  3. Step 3: Cross multiply
    14,823.44x = 20,468.13 × 9,166.40
  4. Step 4: Simplify right side
    14,823.44x = 187,619,066.83
  5. Step 5: Solve for x
    x = 187,619,066.83/14,823.44
  6. Step 6: Final answer
    x = 12,656.92

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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.