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Finding the Fourth Proportional to 13,814.82, 19,064.57 and 7,527.06

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Solution

The fourth proportional to 13,814.82, 19,064.57 and 7,527.06 is: 10,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.82 : 19,064.57 = 7,527.06 : x
  2. Step 2: Convert to fraction form
    13,814.82/19,064.57 = 7,527.06/x
  3. Step 3: Cross multiply
    13,814.82x = 19,064.57 × 7,527.06
  4. Step 4: Simplify right side
    13,814.82x = 143,500,124.63
  5. Step 5: Solve for x
    x = 143,500,124.63/13,814.82
  6. Step 6: Final answer
    x = 10,387.40

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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.