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Finding the Fourth Proportional to 14,477.32, 21,720.30 and 8,317

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Solution

The fourth proportional to 14,477.32, 21,720.30 and 8,317 is: 12,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.32 : 21,720.30 = 8,317 : x
  2. Step 2: Convert to fraction form
    14,477.32/21,720.30 = 8,317/x
  3. Step 3: Cross multiply
    14,477.32x = 21,720.30 × 8,317
  4. Step 4: Simplify right side
    14,477.32x = 180,647,735.10
  5. Step 5: Solve for x
    x = 180,647,735.10/14,477.32
  6. Step 6: Final answer
    x = 12,477.98

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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.