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Finding the Fourth Proportional to 19,822.34, 29,675.18 and 13,232.18

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Solution

The fourth proportional to 19,822.34, 29,675.18 and 13,232.18 is: 19,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.34 : 29,675.18 = 13,232.18 : x
  2. Step 2: Convert to fraction form
    19,822.34/29,675.18 = 13,232.18/x
  3. Step 3: Cross multiply
    19,822.34x = 29,675.18 × 13,232.18
  4. Step 4: Simplify right side
    19,822.34x = 392,667,108.76
  5. Step 5: Solve for x
    x = 392,667,108.76/19,822.34
  6. Step 6: Final answer
    x = 19,809.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.