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Finding the Fourth Proportional to 10,455.10, 15,682.65 and 9,969.10

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Solution

The fourth proportional to 10,455.10, 15,682.65 and 9,969.10 is: 14,953.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.10 : 15,682.65 = 9,969.10 : x
  2. Step 2: Convert to fraction form
    10,455.10/15,682.65 = 9,969.10/x
  3. Step 3: Cross multiply
    10,455.10x = 15,682.65 × 9,969.10
  4. Step 4: Simplify right side
    10,455.10x = 156,341,906.12
  5. Step 5: Solve for x
    x = 156,341,906.12/10,455.10
  6. Step 6: Final answer
    x = 14,953.65

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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.