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Finding the Fourth Proportional to 16,253.72, 24,354.99 and 12,564.98

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Solution

The fourth proportional to 16,253.72, 24,354.99 and 12,564.98 is: 18,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.72 : 24,354.99 = 12,564.98 : x
  2. Step 2: Convert to fraction form
    16,253.72/24,354.99 = 12,564.98/x
  3. Step 3: Cross multiply
    16,253.72x = 24,354.99 × 12,564.98
  4. Step 4: Simplify right side
    16,253.72x = 306,019,962.25
  5. Step 5: Solve for x
    x = 306,019,962.25/16,253.72
  6. Step 6: Final answer
    x = 18,827.69

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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.