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Finding the Fourth Proportional to 14,807.25, 20,447.64 and 9,511.29

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Solution

The fourth proportional to 14,807.25, 20,447.64 and 9,511.29 is: 13,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.25 : 20,447.64 = 9,511.29 : x
  2. Step 2: Convert to fraction form
    14,807.25/20,447.64 = 9,511.29/x
  3. Step 3: Cross multiply
    14,807.25x = 20,447.64 × 9,511.29
  4. Step 4: Simplify right side
    14,807.25x = 194,483,433.86
  5. Step 5: Solve for x
    x = 194,483,433.86/14,807.25
  6. Step 6: Final answer
    x = 13,134.34

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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.