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Finding the Fourth Proportional to 13,059.20, 19,594.20 and 7,214.24

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Solution

The fourth proportional to 13,059.20, 19,594.20 and 7,214.24 is: 10,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.20 : 19,594.20 = 7,214.24 : x
  2. Step 2: Convert to fraction form
    13,059.20/19,594.20 = 7,214.24/x
  3. Step 3: Cross multiply
    13,059.20x = 19,594.20 × 7,214.24
  4. Step 4: Simplify right side
    13,059.20x = 141,357,261.41
  5. Step 5: Solve for x
    x = 141,357,261.41/13,059.20
  6. Step 6: Final answer
    x = 10,824.34

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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.