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Finding the Fourth Proportional to 19,825.64, 29,745.24 and 12,421.28

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Solution

The fourth proportional to 19,825.64, 29,745.24 and 12,421.28 is: 18,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.64 : 29,745.24 = 12,421.28 : x
  2. Step 2: Convert to fraction form
    19,825.64/29,745.24 = 12,421.28/x
  3. Step 3: Cross multiply
    19,825.64x = 29,745.24 × 12,421.28
  4. Step 4: Simplify right side
    19,825.64x = 369,473,954.71
  5. Step 5: Solve for x
    x = 369,473,954.71/19,825.64
  6. Step 6: Final answer
    x = 18,636.17

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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.