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Finding the Fourth Proportional to 14,129.27, 19,498.94 and 7,842.86

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Solution

The fourth proportional to 14,129.27, 19,498.94 and 7,842.86 is: 10,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.27 : 19,498.94 = 7,842.86 : x
  2. Step 2: Convert to fraction form
    14,129.27/19,498.94 = 7,842.86/x
  3. Step 3: Cross multiply
    14,129.27x = 19,498.94 × 7,842.86
  4. Step 4: Simplify right side
    14,129.27x = 152,927,456.57
  5. Step 5: Solve for x
    x = 152,927,456.57/14,129.27
  6. Step 6: Final answer
    x = 10,823.45

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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.