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Finding the Fourth Proportional to 19,607.64, 29,408.35 and 16,297.14

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Solution

The fourth proportional to 19,607.64, 29,408.35 and 16,297.14 is: 24,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,607.64 : 29,408.35 = 16,297.14 : x
  2. Step 2: Convert to fraction form
    19,607.64/29,408.35 = 16,297.14/x
  3. Step 3: Cross multiply
    19,607.64x = 29,408.35 × 16,297.14
  4. Step 4: Simplify right side
    19,607.64x = 479,271,997.12
  5. Step 5: Solve for x
    x = 479,271,997.12/19,607.64
  6. Step 6: Final answer
    x = 24,443.13

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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.