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Finding the Fourth Proportional to 14,357.66, 21,538.10 and 6,564.38

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Solution

The fourth proportional to 14,357.66, 21,538.10 and 6,564.38 is: 9,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.66 : 21,538.10 = 6,564.38 : x
  2. Step 2: Convert to fraction form
    14,357.66/21,538.10 = 6,564.38/x
  3. Step 3: Cross multiply
    14,357.66x = 21,538.10 × 6,564.38
  4. Step 4: Simplify right side
    14,357.66x = 141,384,181.60
  5. Step 5: Solve for x
    x = 141,384,181.60/14,357.66
  6. Step 6: Final answer
    x = 9,847.30

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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.