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Finding the Fourth Proportional to 19,049.48, 26,285.80 and 10,666

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Solution

The fourth proportional to 19,049.48, 26,285.80 and 10,666 is: 14,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.48 : 26,285.80 = 10,666 : x
  2. Step 2: Convert to fraction form
    19,049.48/26,285.80 = 10,666/x
  3. Step 3: Cross multiply
    19,049.48x = 26,285.80 × 10,666
  4. Step 4: Simplify right side
    19,049.48x = 280,364,342.80
  5. Step 5: Solve for x
    x = 280,364,342.80/19,049.48
  6. Step 6: Final answer
    x = 14,717.69

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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.