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Finding the Fourth Proportional to 14,520.94, 20,045.02 and 9,811.60

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Solution

The fourth proportional to 14,520.94, 20,045.02 and 9,811.60 is: 13,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.94 : 20,045.02 = 9,811.60 : x
  2. Step 2: Convert to fraction form
    14,520.94/20,045.02 = 9,811.60/x
  3. Step 3: Cross multiply
    14,520.94x = 20,045.02 × 9,811.60
  4. Step 4: Simplify right side
    14,520.94x = 196,673,669.17
  5. Step 5: Solve for x
    x = 196,673,669.17/14,520.94
  6. Step 6: Final answer
    x = 13,544.14

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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.