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Finding the Fourth Proportional to 21,715.74, 29,969.17 and 12,156.48

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Solution

The fourth proportional to 21,715.74, 29,969.17 and 12,156.48 is: 16,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.74 : 29,969.17 = 12,156.48 : x
  2. Step 2: Convert to fraction form
    21,715.74/29,969.17 = 12,156.48/x
  3. Step 3: Cross multiply
    21,715.74x = 29,969.17 × 12,156.48
  4. Step 4: Simplify right side
    21,715.74x = 364,319,465.88
  5. Step 5: Solve for x
    x = 364,319,465.88/21,715.74
  6. Step 6: Final answer
    x = 16,776.75

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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.