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Finding the Fourth Proportional to 14,182.64, 21,271.21 and 5,415.47

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Solution

The fourth proportional to 14,182.64, 21,271.21 and 5,415.47 is: 8,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.64 : 21,271.21 = 5,415.47 : x
  2. Step 2: Convert to fraction form
    14,182.64/21,271.21 = 5,415.47/x
  3. Step 3: Cross multiply
    14,182.64x = 21,271.21 × 5,415.47
  4. Step 4: Simplify right side
    14,182.64x = 115,193,599.62
  5. Step 5: Solve for x
    x = 115,193,599.62/14,182.64
  6. Step 6: Final answer
    x = 8,122.15

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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.