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Finding the Fourth Proportional to 15,828.41, 21,846.83 and 9,117.92

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Solution

The fourth proportional to 15,828.41, 21,846.83 and 9,117.92 is: 12,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.41 : 21,846.83 = 9,117.92 : x
  2. Step 2: Convert to fraction form
    15,828.41/21,846.83 = 9,117.92/x
  3. Step 3: Cross multiply
    15,828.41x = 21,846.83 × 9,117.92
  4. Step 4: Simplify right side
    15,828.41x = 199,197,648.19
  5. Step 5: Solve for x
    x = 199,197,648.19/15,828.41
  6. Step 6: Final answer
    x = 12,584.82

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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.