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Finding the Fourth Proportional to 14,129.25, 19,498.77 and 7,842.03

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Solution

The fourth proportional to 14,129.25, 19,498.77 and 7,842.03 is: 10,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.25 : 19,498.77 = 7,842.03 : x
  2. Step 2: Convert to fraction form
    14,129.25/19,498.77 = 7,842.03/x
  3. Step 3: Cross multiply
    14,129.25x = 19,498.77 × 7,842.03
  4. Step 4: Simplify right side
    14,129.25x = 152,909,939.30
  5. Step 5: Solve for x
    x = 152,909,939.30/14,129.25
  6. Step 6: Final answer
    x = 10,822.23

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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.