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Finding the Fourth Proportional to 13,814.34, 19,064.16 and 7,527.12

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Solution

The fourth proportional to 13,814.34, 19,064.16 and 7,527.12 is: 10,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.34 : 19,064.16 = 7,527.12 : x
  2. Step 2: Convert to fraction form
    13,814.34/19,064.16 = 7,527.12/x
  3. Step 3: Cross multiply
    13,814.34x = 19,064.16 × 7,527.12
  4. Step 4: Simplify right side
    13,814.34x = 143,498,220.02
  5. Step 5: Solve for x
    x = 143,498,220.02/13,814.34
  6. Step 6: Final answer
    x = 10,387.63

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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.