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Finding the Fourth Proportional to 13,838.83, 19,049.56 and 10,475.71

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Solution

The fourth proportional to 13,838.83, 19,049.56 and 10,475.71 is: 14,420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.83 : 19,049.56 = 10,475.71 : x
  2. Step 2: Convert to fraction form
    13,838.83/19,049.56 = 10,475.71/x
  3. Step 3: Cross multiply
    13,838.83x = 19,049.56 × 10,475.71
  4. Step 4: Simplify right side
    13,838.83x = 199,557,666.19
  5. Step 5: Solve for x
    x = 199,557,666.19/13,838.83
  6. Step 6: Final answer
    x = 14,420.13

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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.