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Finding the Fourth Proportional to 21,205.45, 31,822.75 and 7,354.45

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Solution

The fourth proportional to 21,205.45, 31,822.75 and 7,354.45 is: 11,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.45 : 31,822.75 = 7,354.45 : x
  2. Step 2: Convert to fraction form
    21,205.45/31,822.75 = 7,354.45/x
  3. Step 3: Cross multiply
    21,205.45x = 31,822.75 × 7,354.45
  4. Step 4: Simplify right side
    21,205.45x = 234,038,823.74
  5. Step 5: Solve for x
    x = 234,038,823.74/21,205.45
  6. Step 6: Final answer
    x = 11,036.73

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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.