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Finding the Fourth Proportional to 21,378.40, 32,074.52 and 10,283.64

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Solution

The fourth proportional to 21,378.40, 32,074.52 and 10,283.64 is: 15,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.40 : 32,074.52 = 10,283.64 : x
  2. Step 2: Convert to fraction form
    21,378.40/32,074.52 = 10,283.64/x
  3. Step 3: Cross multiply
    21,378.40x = 32,074.52 × 10,283.64
  4. Step 4: Simplify right side
    21,378.40x = 329,842,816.85
  5. Step 5: Solve for x
    x = 329,842,816.85/21,378.40
  6. Step 6: Final answer
    x = 15,428.79

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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.