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Finding the Fourth Proportional to 13,820.34, 19,072.53 and 7,532.94

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Solution

The fourth proportional to 13,820.34, 19,072.53 and 7,532.94 is: 10,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.34 : 19,072.53 = 7,532.94 : x
  2. Step 2: Convert to fraction form
    13,820.34/19,072.53 = 7,532.94/x
  3. Step 3: Cross multiply
    13,820.34x = 19,072.53 × 7,532.94
  4. Step 4: Simplify right side
    13,820.34x = 143,672,224.14
  5. Step 5: Solve for x
    x = 143,672,224.14/13,820.34
  6. Step 6: Final answer
    x = 10,395.71

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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.