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Finding the Fourth Proportional to 15,677.28, 21,635.28 and 8,964

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Solution

The fourth proportional to 15,677.28, 21,635.28 and 8,964 is: 12,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.28 : 21,635.28 = 8,964 : x
  2. Step 2: Convert to fraction form
    15,677.28/21,635.28 = 8,964/x
  3. Step 3: Cross multiply
    15,677.28x = 21,635.28 × 8,964
  4. Step 4: Simplify right side
    15,677.28x = 193,938,649.92
  5. Step 5: Solve for x
    x = 193,938,649.92/15,677.28
  6. Step 6: Final answer
    x = 12,370.68

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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.