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Finding the Fourth Proportional to 13,814.84, 19,064.86 and 7,527.62

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Solution

The fourth proportional to 13,814.84, 19,064.86 and 7,527.62 is: 10,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.84 : 19,064.86 = 7,527.62 : x
  2. Step 2: Convert to fraction form
    13,814.84/19,064.86 = 7,527.62/x
  3. Step 3: Cross multiply
    13,814.84x = 19,064.86 × 7,527.62
  4. Step 4: Simplify right side
    13,814.84x = 143,513,021.43
  5. Step 5: Solve for x
    x = 143,513,021.43/13,814.84
  6. Step 6: Final answer
    x = 10,388.32

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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.