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Finding the Fourth Proportional to 30,384.40, 45,573.40 and 8,196.41

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Solution

The fourth proportional to 30,384.40, 45,573.40 and 8,196.41 is: 12,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.40 : 45,573.40 = 8,196.41 : x
  2. Step 2: Convert to fraction form
    30,384.40/45,573.40 = 8,196.41/x
  3. Step 3: Cross multiply
    30,384.40x = 45,573.40 × 8,196.41
  4. Step 4: Simplify right side
    30,384.40x = 373,538,271.49
  5. Step 5: Solve for x
    x = 373,538,271.49/30,384.40
  6. Step 6: Final answer
    x = 12,293.75

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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.