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Finding the Fourth Proportional to 15,823.13, 21,835.92 and 8,749.50

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Solution

The fourth proportional to 15,823.13, 21,835.92 and 8,749.50 is: 12,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.13 : 21,835.92 = 8,749.50 : x
  2. Step 2: Convert to fraction form
    15,823.13/21,835.92 = 8,749.50/x
  3. Step 3: Cross multiply
    15,823.13x = 21,835.92 × 8,749.50
  4. Step 4: Simplify right side
    15,823.13x = 191,053,382.04
  5. Step 5: Solve for x
    x = 191,053,382.04/15,823.13
  6. Step 6: Final answer
    x = 12,074.31

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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.