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Finding the Fourth Proportional to 14,813.56, 20,440.92 and 8,437.84

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Solution

The fourth proportional to 14,813.56, 20,440.92 and 8,437.84 is: 11,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.56 : 20,440.92 = 8,437.84 : x
  2. Step 2: Convert to fraction form
    14,813.56/20,440.92 = 8,437.84/x
  3. Step 3: Cross multiply
    14,813.56x = 20,440.92 × 8,437.84
  4. Step 4: Simplify right side
    14,813.56x = 172,477,212.41
  5. Step 5: Solve for x
    x = 172,477,212.41/14,813.56
  6. Step 6: Final answer
    x = 11,643.20

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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.