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Finding the Fourth Proportional to 14,642.87, 21,964.56 and 5,283.59

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Solution

The fourth proportional to 14,642.87, 21,964.56 and 5,283.59 is: 7,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.87 : 21,964.56 = 5,283.59 : x
  2. Step 2: Convert to fraction form
    14,642.87/21,964.56 = 5,283.59/x
  3. Step 3: Cross multiply
    14,642.87x = 21,964.56 × 5,283.59
  4. Step 4: Simplify right side
    14,642.87x = 116,051,619.75
  5. Step 5: Solve for x
    x = 116,051,619.75/14,642.87
  6. Step 6: Final answer
    x = 7,925.47

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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.