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Finding the Fourth Proportional to 22,303.40, 33,462.25 and 6,509.48

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Solution

The fourth proportional to 22,303.40, 33,462.25 and 6,509.48 is: 9,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.40 : 33,462.25 = 6,509.48 : x
  2. Step 2: Convert to fraction form
    22,303.40/33,462.25 = 6,509.48/x
  3. Step 3: Cross multiply
    22,303.40x = 33,462.25 × 6,509.48
  4. Step 4: Simplify right side
    22,303.40x = 217,821,663.55
  5. Step 5: Solve for x
    x = 217,821,663.55/22,303.40
  6. Step 6: Final answer
    x = 9,766.30

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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.