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Finding the Fourth Proportional to 13,098.64, 18,036.09 and 9,873.15

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Solution

The fourth proportional to 13,098.64, 18,036.09 and 9,873.15 is: 13,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.64 : 18,036.09 = 9,873.15 : x
  2. Step 2: Convert to fraction form
    13,098.64/18,036.09 = 9,873.15/x
  3. Step 3: Cross multiply
    13,098.64x = 18,036.09 × 9,873.15
  4. Step 4: Simplify right side
    13,098.64x = 178,072,983.72
  5. Step 5: Solve for x
    x = 178,072,983.72/13,098.64
  6. Step 6: Final answer
    x = 13,594.77

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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.