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Finding the Fourth Proportional to 21,948.30, 32,922.45 and 13,200.30

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Solution

The fourth proportional to 21,948.30, 32,922.45 and 13,200.30 is: 19,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948.30 : 32,922.45 = 13,200.30 : x
  2. Step 2: Convert to fraction form
    21,948.30/32,922.45 = 13,200.30/x
  3. Step 3: Cross multiply
    21,948.30x = 32,922.45 × 13,200.30
  4. Step 4: Simplify right side
    21,948.30x = 434,586,216.74
  5. Step 5: Solve for x
    x = 434,586,216.74/21,948.30
  6. Step 6: Final answer
    x = 19,800.45

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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.