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Finding the Fourth Proportional to 13,099.32, 18,045.32 and 9,736.34

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Solution

The fourth proportional to 13,099.32, 18,045.32 and 9,736.34 is: 13,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.32 : 18,045.32 = 9,736.34 : x
  2. Step 2: Convert to fraction form
    13,099.32/18,045.32 = 9,736.34/x
  3. Step 3: Cross multiply
    13,099.32x = 18,045.32 × 9,736.34
  4. Step 4: Simplify right side
    13,099.32x = 175,695,232.02
  5. Step 5: Solve for x
    x = 175,695,232.02/13,099.32
  6. Step 6: Final answer
    x = 13,412.55

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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.