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Finding the Fourth Proportional to 13,838.42, 19,092.03 and 10,652.69

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Solution

The fourth proportional to 13,838.42, 19,092.03 and 10,652.69 is: 14,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.42 : 19,092.03 = 10,652.69 : x
  2. Step 2: Convert to fraction form
    13,838.42/19,092.03 = 10,652.69/x
  3. Step 3: Cross multiply
    13,838.42x = 19,092.03 × 10,652.69
  4. Step 4: Simplify right side
    13,838.42x = 203,381,477.06
  5. Step 5: Solve for x
    x = 203,381,477.06/13,838.42
  6. Step 6: Final answer
    x = 14,696.87

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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.