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Finding the Fourth Proportional to 13,803.83, 19,048.61 and 7,835.42

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Solution

The fourth proportional to 13,803.83, 19,048.61 and 7,835.42 is: 10,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.83 : 19,048.61 = 7,835.42 : x
  2. Step 2: Convert to fraction form
    13,803.83/19,048.61 = 7,835.42/x
  3. Step 3: Cross multiply
    13,803.83x = 19,048.61 × 7,835.42
  4. Step 4: Simplify right side
    13,803.83x = 149,253,784.11
  5. Step 5: Solve for x
    x = 149,253,784.11/13,803.83
  6. Step 6: Final answer
    x = 10,812.49

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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.