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Finding the Fourth Proportional to 10,485.54, 14,471.46 and 9,599.76

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Solution

The fourth proportional to 10,485.54, 14,471.46 and 9,599.76 is: 13,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.54 : 14,471.46 = 9,599.76 : x
  2. Step 2: Convert to fraction form
    10,485.54/14,471.46 = 9,599.76/x
  3. Step 3: Cross multiply
    10,485.54x = 14,471.46 × 9,599.76
  4. Step 4: Simplify right side
    10,485.54x = 138,922,542.85
  5. Step 5: Solve for x
    x = 138,922,542.85/10,485.54
  6. Step 6: Final answer
    x = 13,248.96

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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.