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Finding the Fourth Proportional to 14,311.45, 19,746.21 and 8,649.55

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Solution

The fourth proportional to 14,311.45, 19,746.21 and 8,649.55 is: 11,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.45 : 19,746.21 = 8,649.55 : x
  2. Step 2: Convert to fraction form
    14,311.45/19,746.21 = 8,649.55/x
  3. Step 3: Cross multiply
    14,311.45x = 19,746.21 × 8,649.55
  4. Step 4: Simplify right side
    14,311.45x = 170,795,830.71
  5. Step 5: Solve for x
    x = 170,795,830.71/14,311.45
  6. Step 6: Final answer
    x = 11,934.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.