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Finding the Fourth Proportional to 15,835.52, 21,852 and 8,761.76

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Solution

The fourth proportional to 15,835.52, 21,852 and 8,761.76 is: 12,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.52 : 21,852 = 8,761.76 : x
  2. Step 2: Convert to fraction form
    15,835.52/21,852 = 8,761.76/x
  3. Step 3: Cross multiply
    15,835.52x = 21,852 × 8,761.76
  4. Step 4: Simplify right side
    15,835.52x = 191,461,979.52
  5. Step 5: Solve for x
    x = 191,461,979.52/15,835.52
  6. Step 6: Final answer
    x = 12,090.67

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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.