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Finding the Fourth Proportional to 14,642.80, 21,964.38 and 5,289.52

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Solution

The fourth proportional to 14,642.80, 21,964.38 and 5,289.52 is: 7,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.80 : 21,964.38 = 5,289.52 : x
  2. Step 2: Convert to fraction form
    14,642.80/21,964.38 = 5,289.52/x
  3. Step 3: Cross multiply
    14,642.80x = 21,964.38 × 5,289.52
  4. Step 4: Simplify right side
    14,642.80x = 116,181,027.30
  5. Step 5: Solve for x
    x = 116,181,027.30/14,642.80
  6. Step 6: Final answer
    x = 7,934.35

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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.