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Finding the Fourth Proportional to 15,822.81, 21,835.62 and 8,749.71

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Solution

The fourth proportional to 15,822.81, 21,835.62 and 8,749.71 is: 12,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.81 : 21,835.62 = 8,749.71 : x
  2. Step 2: Convert to fraction form
    15,822.81/21,835.62 = 8,749.71/x
  3. Step 3: Cross multiply
    15,822.81x = 21,835.62 × 8,749.71
  4. Step 4: Simplify right side
    15,822.81x = 191,055,342.67
  5. Step 5: Solve for x
    x = 191,055,342.67/15,822.81
  6. Step 6: Final answer
    x = 12,074.68

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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.