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Finding the Fourth Proportional to 13,803.40, 19,049.13 and 7,835.32

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Solution

The fourth proportional to 13,803.40, 19,049.13 and 7,835.32 is: 10,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.40 : 19,049.13 = 7,835.32 : x
  2. Step 2: Convert to fraction form
    13,803.40/19,049.13 = 7,835.32/x
  3. Step 3: Cross multiply
    13,803.40x = 19,049.13 × 7,835.32
  4. Step 4: Simplify right side
    13,803.40x = 149,256,029.27
  5. Step 5: Solve for x
    x = 149,256,029.27/13,803.40
  6. Step 6: Final answer
    x = 10,812.99

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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.