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Finding the Fourth Proportional to 14,285.31, 19,713.07 and 7,911.47

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Solution

The fourth proportional to 14,285.31, 19,713.07 and 7,911.47 is: 10,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.31 : 19,713.07 = 7,911.47 : x
  2. Step 2: Convert to fraction form
    14,285.31/19,713.07 = 7,911.47/x
  3. Step 3: Cross multiply
    14,285.31x = 19,713.07 × 7,911.47
  4. Step 4: Simplify right side
    14,285.31x = 155,959,421.08
  5. Step 5: Solve for x
    x = 155,959,421.08/14,285.31
  6. Step 6: Final answer
    x = 10,917.47

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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.