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Finding the Fourth Proportional to 14,281.60, 21,422.40 and 5,047.60

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Solution

The fourth proportional to 14,281.60, 21,422.40 and 5,047.60 is: 7,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.60 : 21,422.40 = 5,047.60 : x
  2. Step 2: Convert to fraction form
    14,281.60/21,422.40 = 5,047.60/x
  3. Step 3: Cross multiply
    14,281.60x = 21,422.40 × 5,047.60
  4. Step 4: Simplify right side
    14,281.60x = 108,131,706.24
  5. Step 5: Solve for x
    x = 108,131,706.24/14,281.60
  6. Step 6: Final answer
    x = 7,571.40

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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.