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Finding the Fourth Proportional to 13,815.72, 19,065.02 and 7,846.61

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Solution

The fourth proportional to 13,815.72, 19,065.02 and 7,846.61 is: 10,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.72 : 19,065.02 = 7,846.61 : x
  2. Step 2: Convert to fraction form
    13,815.72/19,065.02 = 7,846.61/x
  3. Step 3: Cross multiply
    13,815.72x = 19,065.02 × 7,846.61
  4. Step 4: Simplify right side
    13,815.72x = 149,595,642.02
  5. Step 5: Solve for x
    x = 149,595,642.02/13,815.72
  6. Step 6: Final answer
    x = 10,827.93

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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.