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Finding the Fourth Proportional to 13,814.61, 19,071.37 and 10,741.65

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Solution

The fourth proportional to 13,814.61, 19,071.37 and 10,741.65 is: 14,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.61 : 19,071.37 = 10,741.65 : x
  2. Step 2: Convert to fraction form
    13,814.61/19,071.37 = 10,741.65/x
  3. Step 3: Cross multiply
    13,814.61x = 19,071.37 × 10,741.65
  4. Step 4: Simplify right side
    13,814.61x = 204,857,981.56
  5. Step 5: Solve for x
    x = 204,857,981.56/13,814.61
  6. Step 6: Final answer
    x = 14,829.08

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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.