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Finding the Fourth Proportional to 42,427.80, 63,633.60 and 12,846.60

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Solution

The fourth proportional to 42,427.80, 63,633.60 and 12,846.60 is: 19,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,427.80 : 63,633.60 = 12,846.60 : x
  2. Step 2: Convert to fraction form
    42,427.80/63,633.60 = 12,846.60/x
  3. Step 3: Cross multiply
    42,427.80x = 63,633.60 × 12,846.60
  4. Step 4: Simplify right side
    42,427.80x = 817,475,405.76
  5. Step 5: Solve for x
    x = 817,475,405.76/42,427.80
  6. Step 6: Final answer
    x = 19,267.45

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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.