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Finding the Fourth Proportional to 21,703.54, 32,546.79 and 7,660.57

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Solution

The fourth proportional to 21,703.54, 32,546.79 and 7,660.57 is: 11,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.54 : 32,546.79 = 7,660.57 : x
  2. Step 2: Convert to fraction form
    21,703.54/32,546.79 = 7,660.57/x
  3. Step 3: Cross multiply
    21,703.54x = 32,546.79 × 7,660.57
  4. Step 4: Simplify right side
    21,703.54x = 249,326,800.34
  5. Step 5: Solve for x
    x = 249,326,800.34/21,703.54
  6. Step 6: Final answer
    x = 11,487.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.