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Finding the Fourth Proportional to 14,642.88, 21,969.72 and 5,283.60

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Solution

The fourth proportional to 14,642.88, 21,969.72 and 5,283.60 is: 7,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.88 : 21,969.72 = 5,283.60 : x
  2. Step 2: Convert to fraction form
    14,642.88/21,969.72 = 5,283.60/x
  3. Step 3: Cross multiply
    14,642.88x = 21,969.72 × 5,283.60
  4. Step 4: Simplify right side
    14,642.88x = 116,079,212.59
  5. Step 5: Solve for x
    x = 116,079,212.59/14,642.88
  6. Step 6: Final answer
    x = 7,927.35

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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.