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Finding the Fourth Proportional to 14,185.86, 21,271.64 and 8,264.70

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Solution

The fourth proportional to 14,185.86, 21,271.64 and 8,264.70 is: 12,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.86 : 21,271.64 = 8,264.70 : x
  2. Step 2: Convert to fraction form
    14,185.86/21,271.64 = 8,264.70/x
  3. Step 3: Cross multiply
    14,185.86x = 21,271.64 × 8,264.70
  4. Step 4: Simplify right side
    14,185.86x = 175,803,723.11
  5. Step 5: Solve for x
    x = 175,803,723.11/14,185.86
  6. Step 6: Final answer
    x = 12,392.88

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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.