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Finding the Fourth Proportional to 13,689.15, 20,552.64 and 9,461.99

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Solution

The fourth proportional to 13,689.15, 20,552.64 and 9,461.99 is: 14,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.15 : 20,552.64 = 9,461.99 : x
  2. Step 2: Convert to fraction form
    13,689.15/20,552.64 = 9,461.99/x
  3. Step 3: Cross multiply
    13,689.15x = 20,552.64 × 9,461.99
  4. Step 4: Simplify right side
    13,689.15x = 194,468,850.50
  5. Step 5: Solve for x
    x = 194,468,850.50/13,689.15
  6. Step 6: Final answer
    x = 14,206.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.