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Finding the Fourth Proportional to 10,382.30, 15,573.45 and 9,086.30

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Solution

The fourth proportional to 10,382.30, 15,573.45 and 9,086.30 is: 13,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.30 : 15,573.45 = 9,086.30 : x
  2. Step 2: Convert to fraction form
    10,382.30/15,573.45 = 9,086.30/x
  3. Step 3: Cross multiply
    10,382.30x = 15,573.45 × 9,086.30
  4. Step 4: Simplify right side
    10,382.30x = 141,505,038.74
  5. Step 5: Solve for x
    x = 141,505,038.74/10,382.30
  6. Step 6: Final answer
    x = 13,629.45

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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.