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Finding the Fourth Proportional to 21,456, 29,609.28 and 12,024.72

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Solution

The fourth proportional to 21,456, 29,609.28 and 12,024.72 is: 16,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456 : 29,609.28 = 12,024.72 : x
  2. Step 2: Convert to fraction form
    21,456/29,609.28 = 12,024.72/x
  3. Step 3: Cross multiply
    21,456x = 29,609.28 × 12,024.72
  4. Step 4: Simplify right side
    21,456x = 356,043,301.40
  5. Step 5: Solve for x
    x = 356,043,301.40/21,456
  6. Step 6: Final answer
    x = 16,594.11

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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.