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Finding the Fourth Proportional to 21,428.40, 29,569.01 and 12,354.78

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Solution

The fourth proportional to 21,428.40, 29,569.01 and 12,354.78 is: 17,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.40 : 29,569.01 = 12,354.78 : x
  2. Step 2: Convert to fraction form
    21,428.40/29,569.01 = 12,354.78/x
  3. Step 3: Cross multiply
    21,428.40x = 29,569.01 × 12,354.78
  4. Step 4: Simplify right side
    21,428.40x = 365,318,551.59
  5. Step 5: Solve for x
    x = 365,318,551.59/21,428.40
  6. Step 6: Final answer
    x = 17,048.34

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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.