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Finding the Fourth Proportional to 19,666.56, 29,539.20 and 12,284.16

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Solution

The fourth proportional to 19,666.56, 29,539.20 and 12,284.16 is: 18,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.56 : 29,539.20 = 12,284.16 : x
  2. Step 2: Convert to fraction form
    19,666.56/29,539.20 = 12,284.16/x
  3. Step 3: Cross multiply
    19,666.56x = 29,539.20 × 12,284.16
  4. Step 4: Simplify right side
    19,666.56x = 362,864,259.07
  5. Step 5: Solve for x
    x = 362,864,259.07/19,666.56
  6. Step 6: Final answer
    x = 18,450.83

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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.