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Finding the Fourth Proportional to 14,466.40, 21,706.80 and 5,701.60

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Solution

The fourth proportional to 14,466.40, 21,706.80 and 5,701.60 is: 8,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.40 : 21,706.80 = 5,701.60 : x
  2. Step 2: Convert to fraction form
    14,466.40/21,706.80 = 5,701.60/x
  3. Step 3: Cross multiply
    14,466.40x = 21,706.80 × 5,701.60
  4. Step 4: Simplify right side
    14,466.40x = 123,763,490.88
  5. Step 5: Solve for x
    x = 123,763,490.88/14,466.40
  6. Step 6: Final answer
    x = 8,555.24

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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.