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Finding the Fourth Proportional to 21,354.84, 29,461.32 and 12,400.70

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Solution

The fourth proportional to 21,354.84, 29,461.32 and 12,400.70 is: 17,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.84 : 29,461.32 = 12,400.70 : x
  2. Step 2: Convert to fraction form
    21,354.84/29,461.32 = 12,400.70/x
  3. Step 3: Cross multiply
    21,354.84x = 29,461.32 × 12,400.70
  4. Step 4: Simplify right side
    21,354.84x = 365,340,843.62
  5. Step 5: Solve for x
    x = 365,340,843.62/21,354.84
  6. Step 6: Final answer
    x = 17,108.10

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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.