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Finding the Fourth Proportional to 14,840.50, 20,474.21 and 9,807.14

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Solution

The fourth proportional to 14,840.50, 20,474.21 and 9,807.14 is: 13,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840.50 : 20,474.21 = 9,807.14 : x
  2. Step 2: Convert to fraction form
    14,840.50/20,474.21 = 9,807.14/x
  3. Step 3: Cross multiply
    14,840.50x = 20,474.21 × 9,807.14
  4. Step 4: Simplify right side
    14,840.50x = 200,793,443.86
  5. Step 5: Solve for x
    x = 200,793,443.86/14,840.50
  6. Step 6: Final answer
    x = 13,530.10

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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.