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Finding the Fourth Proportional to 13,425.16, 18,529.10 and 10,039.16

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Solution

The fourth proportional to 13,425.16, 18,529.10 and 10,039.16 is: 13,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.16 : 18,529.10 = 10,039.16 : x
  2. Step 2: Convert to fraction form
    13,425.16/18,529.10 = 10,039.16/x
  3. Step 3: Cross multiply
    13,425.16x = 18,529.10 × 10,039.16
  4. Step 4: Simplify right side
    13,425.16x = 186,016,599.56
  5. Step 5: Solve for x
    x = 186,016,599.56/13,425.16
  6. Step 6: Final answer
    x = 13,855.82

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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.