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Finding the Fourth Proportional to 14,666.32, 21,982.74 and 5,895.64

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Solution

The fourth proportional to 14,666.32, 21,982.74 and 5,895.64 is: 8,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.32 : 21,982.74 = 5,895.64 : x
  2. Step 2: Convert to fraction form
    14,666.32/21,982.74 = 5,895.64/x
  3. Step 3: Cross multiply
    14,666.32x = 21,982.74 × 5,895.64
  4. Step 4: Simplify right side
    14,666.32x = 129,602,321.25
  5. Step 5: Solve for x
    x = 129,602,321.25/14,666.32
  6. Step 6: Final answer
    x = 8,836.73

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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.