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Finding the Fourth Proportional to 14,130.08, 19,499.92 and 7,842.24

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Solution

The fourth proportional to 14,130.08, 19,499.92 and 7,842.24 is: 10,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.08 : 19,499.92 = 7,842.24 : x
  2. Step 2: Convert to fraction form
    14,130.08/19,499.92 = 7,842.24/x
  3. Step 3: Cross multiply
    14,130.08x = 19,499.92 × 7,842.24
  4. Step 4: Simplify right side
    14,130.08x = 152,923,052.62
  5. Step 5: Solve for x
    x = 152,923,052.62/14,130.08
  6. Step 6: Final answer
    x = 10,822.52

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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.