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Finding the Fourth Proportional to 21,123.36, 29,141.10 and 12,735

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Solution

The fourth proportional to 21,123.36, 29,141.10 and 12,735 is: 17,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.36 : 29,141.10 = 12,735 : x
  2. Step 2: Convert to fraction form
    21,123.36/29,141.10 = 12,735/x
  3. Step 3: Cross multiply
    21,123.36x = 29,141.10 × 12,735
  4. Step 4: Simplify right side
    21,123.36x = 371,111,908.50
  5. Step 5: Solve for x
    x = 371,111,908.50/21,123.36
  6. Step 6: Final answer
    x = 17,568.79

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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.