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Finding the Fourth Proportional to 16,019.34, 24,000.21 and 9,776.10

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Solution

The fourth proportional to 16,019.34, 24,000.21 and 9,776.10 is: 14,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.34 : 24,000.21 = 9,776.10 : x
  2. Step 2: Convert to fraction form
    16,019.34/24,000.21 = 9,776.10/x
  3. Step 3: Cross multiply
    16,019.34x = 24,000.21 × 9,776.10
  4. Step 4: Simplify right side
    16,019.34x = 234,628,452.98
  5. Step 5: Solve for x
    x = 234,628,452.98/16,019.34
  6. Step 6: Final answer
    x = 14,646.57

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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.