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Finding the Fourth Proportional to 14,128.53, 19,497.90 and 7,842.12

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Solution

The fourth proportional to 14,128.53, 19,497.90 and 7,842.12 is: 10,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.53 : 19,497.90 = 7,842.12 : x
  2. Step 2: Convert to fraction form
    14,128.53/19,497.90 = 7,842.12/x
  3. Step 3: Cross multiply
    14,128.53x = 19,497.90 × 7,842.12
  4. Step 4: Simplify right side
    14,128.53x = 152,904,871.55
  5. Step 5: Solve for x
    x = 152,904,871.55/14,128.53
  6. Step 6: Final answer
    x = 10,822.42

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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.