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Finding the Fourth Proportional to 24,462.80, 36,683.40 and 9,666.80

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Solution

The fourth proportional to 24,462.80, 36,683.40 and 9,666.80 is: 14,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.80 : 36,683.40 = 9,666.80 : x
  2. Step 2: Convert to fraction form
    24,462.80/36,683.40 = 9,666.80/x
  3. Step 3: Cross multiply
    24,462.80x = 36,683.40 × 9,666.80
  4. Step 4: Simplify right side
    24,462.80x = 354,611,091.12
  5. Step 5: Solve for x
    x = 354,611,091.12/24,462.80
  6. Step 6: Final answer
    x = 14,495.93

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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.