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Finding the Fourth Proportional to 14,527.08, 21,771.18 and 8,289

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Solution

The fourth proportional to 14,527.08, 21,771.18 and 8,289 is: 12,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.08 : 21,771.18 = 8,289 : x
  2. Step 2: Convert to fraction form
    14,527.08/21,771.18 = 8,289/x
  3. Step 3: Cross multiply
    14,527.08x = 21,771.18 × 8,289
  4. Step 4: Simplify right side
    14,527.08x = 180,461,311.02
  5. Step 5: Solve for x
    x = 180,461,311.02/14,527.08
  6. Step 6: Final answer
    x = 12,422.41

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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.