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Finding the Fourth Proportional to 13,740.88, 18,962.28 and 7,453.12

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Solution

The fourth proportional to 13,740.88, 18,962.28 and 7,453.12 is: 10,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.88 : 18,962.28 = 7,453.12 : x
  2. Step 2: Convert to fraction form
    13,740.88/18,962.28 = 7,453.12/x
  3. Step 3: Cross multiply
    13,740.88x = 18,962.28 × 7,453.12
  4. Step 4: Simplify right side
    13,740.88x = 141,328,148.31
  5. Step 5: Solve for x
    x = 141,328,148.31/13,740.88
  6. Step 6: Final answer
    x = 10,285.23

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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.