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Finding the Fourth Proportional to 19,509.90, 29,268.49 and 6,182.34

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Solution

The fourth proportional to 19,509.90, 29,268.49 and 6,182.34 is: 9,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.90 : 29,268.49 = 6,182.34 : x
  2. Step 2: Convert to fraction form
    19,509.90/29,268.49 = 6,182.34/x
  3. Step 3: Cross multiply
    19,509.90x = 29,268.49 × 6,182.34
  4. Step 4: Simplify right side
    19,509.90x = 180,947,807.48
  5. Step 5: Solve for x
    x = 180,947,807.48/19,509.90
  6. Step 6: Final answer
    x = 9,274.67

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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.