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Finding the Fourth Proportional to 14,875.76, 20,511.96 and 9,563.24

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Solution

The fourth proportional to 14,875.76, 20,511.96 and 9,563.24 is: 13,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,875.76 : 20,511.96 = 9,563.24 : x
  2. Step 2: Convert to fraction form
    14,875.76/20,511.96 = 9,563.24/x
  3. Step 3: Cross multiply
    14,875.76x = 20,511.96 × 9,563.24
  4. Step 4: Simplify right side
    14,875.76x = 196,160,796.35
  5. Step 5: Solve for x
    x = 196,160,796.35/14,875.76
  6. Step 6: Final answer
    x = 13,186.61

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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.