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Finding the Fourth Proportional to 21,711.84, 32,556.80 and 7,669.76

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Solution

The fourth proportional to 21,711.84, 32,556.80 and 7,669.76 is: 11,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.84 : 32,556.80 = 7,669.76 : x
  2. Step 2: Convert to fraction form
    21,711.84/32,556.80 = 7,669.76/x
  3. Step 3: Cross multiply
    21,711.84x = 32,556.80 × 7,669.76
  4. Step 4: Simplify right side
    21,711.84x = 249,702,842.37
  5. Step 5: Solve for x
    x = 249,702,842.37/21,711.84
  6. Step 6: Final answer
    x = 11,500.77

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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.