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Finding the Fourth Proportional to 19,705.20, 29,530.80 and 12,663.60

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Solution

The fourth proportional to 19,705.20, 29,530.80 and 12,663.60 is: 18,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.20 : 29,530.80 = 12,663.60 : x
  2. Step 2: Convert to fraction form
    19,705.20/29,530.80 = 12,663.60/x
  3. Step 3: Cross multiply
    19,705.20x = 29,530.80 × 12,663.60
  4. Step 4: Simplify right side
    19,705.20x = 373,966,238.88
  5. Step 5: Solve for x
    x = 373,966,238.88/19,705.20
  6. Step 6: Final answer
    x = 18,978.05

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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.