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Finding the Fourth Proportional to 21,488.64, 29,646.72 and 14,040.96

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Solution

The fourth proportional to 21,488.64, 29,646.72 and 14,040.96 is: 19,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488.64 : 29,646.72 = 14,040.96 : x
  2. Step 2: Convert to fraction form
    21,488.64/29,646.72 = 14,040.96/x
  3. Step 3: Cross multiply
    21,488.64x = 29,646.72 × 14,040.96
  4. Step 4: Simplify right side
    21,488.64x = 416,268,409.65
  5. Step 5: Solve for x
    x = 416,268,409.65/21,488.64
  6. Step 6: Final answer
    x = 19,371.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.