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Finding the Fourth Proportional to 14,174.16, 21,264.30 and 4,312.68

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Solution

The fourth proportional to 14,174.16, 21,264.30 and 4,312.68 is: 6,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.16 : 21,264.30 = 4,312.68 : x
  2. Step 2: Convert to fraction form
    14,174.16/21,264.30 = 4,312.68/x
  3. Step 3: Cross multiply
    14,174.16x = 21,264.30 × 4,312.68
  4. Step 4: Simplify right side
    14,174.16x = 91,706,121.32
  5. Step 5: Solve for x
    x = 91,706,121.32/14,174.16
  6. Step 6: Final answer
    x = 6,469.95

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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.