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Finding the Fourth Proportional to 19,633.60, 29,428.80 and 8,538.40

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Solution

The fourth proportional to 19,633.60, 29,428.80 and 8,538.40 is: 12,798.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.60 : 29,428.80 = 8,538.40 : x
  2. Step 2: Convert to fraction form
    19,633.60/29,428.80 = 8,538.40/x
  3. Step 3: Cross multiply
    19,633.60x = 29,428.80 × 8,538.40
  4. Step 4: Simplify right side
    19,633.60x = 251,274,865.92
  5. Step 5: Solve for x
    x = 251,274,865.92/19,633.60
  6. Step 6: Final answer
    x = 12,798.21

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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.