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Finding the Fourth Proportional to 14,842.14, 20,484.47 and 8,468.72

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Solution

The fourth proportional to 14,842.14, 20,484.47 and 8,468.72 is: 11,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.14 : 20,484.47 = 8,468.72 : x
  2. Step 2: Convert to fraction form
    14,842.14/20,484.47 = 8,468.72/x
  3. Step 3: Cross multiply
    14,842.14x = 20,484.47 × 8,468.72
  4. Step 4: Simplify right side
    14,842.14x = 173,477,198.43
  5. Step 5: Solve for x
    x = 173,477,198.43/14,842.14
  6. Step 6: Final answer
    x = 11,688.15

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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.