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Finding the Fourth Proportional to 14,538.30, 21,807.60 and 6,213.12

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Solution

The fourth proportional to 14,538.30, 21,807.60 and 6,213.12 is: 9,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.30 : 21,807.60 = 6,213.12 : x
  2. Step 2: Convert to fraction form
    14,538.30/21,807.60 = 6,213.12/x
  3. Step 3: Cross multiply
    14,538.30x = 21,807.60 × 6,213.12
  4. Step 4: Simplify right side
    14,538.30x = 135,493,235.71
  5. Step 5: Solve for x
    x = 135,493,235.71/14,538.30
  6. Step 6: Final answer
    x = 9,319.74

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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.