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Finding the Fourth Proportional to 14,129.92, 19,498.72 and 7,842.72

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Solution

The fourth proportional to 14,129.92, 19,498.72 and 7,842.72 is: 10,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.92 : 19,498.72 = 7,842.72 : x
  2. Step 2: Convert to fraction form
    14,129.92/19,498.72 = 7,842.72/x
  3. Step 3: Cross multiply
    14,129.92x = 19,498.72 × 7,842.72
  4. Step 4: Simplify right side
    14,129.92x = 152,923,001.32
  5. Step 5: Solve for x
    x = 152,923,001.32/14,129.92
  6. Step 6: Final answer
    x = 10,822.64

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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.