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Finding the Fourth Proportional to 21,384.90, 29,509.87 and 11,824.21

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Solution

The fourth proportional to 21,384.90, 29,509.87 and 11,824.21 is: 16,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.90 : 29,509.87 = 11,824.21 : x
  2. Step 2: Convert to fraction form
    21,384.90/29,509.87 = 11,824.21/x
  3. Step 3: Cross multiply
    21,384.90x = 29,509.87 × 11,824.21
  4. Step 4: Simplify right side
    21,384.90x = 348,930,826.18
  5. Step 5: Solve for x
    x = 348,930,826.18/21,384.90
  6. Step 6: Final answer
    x = 16,316.70

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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.