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Finding the Fourth Proportional to 13,510.30, 18,642.80 and 7,843.94

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Solution

The fourth proportional to 13,510.30, 18,642.80 and 7,843.94 is: 10,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.30 : 18,642.80 = 7,843.94 : x
  2. Step 2: Convert to fraction form
    13,510.30/18,642.80 = 7,843.94/x
  3. Step 3: Cross multiply
    13,510.30x = 18,642.80 × 7,843.94
  4. Step 4: Simplify right side
    13,510.30x = 146,233,085.07
  5. Step 5: Solve for x
    x = 146,233,085.07/13,510.30
  6. Step 6: Final answer
    x = 10,823.82

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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.