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Finding the Fourth Proportional to 15,763.20, 21,759.84 and 9,476.16

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Solution

The fourth proportional to 15,763.20, 21,759.84 and 9,476.16 is: 13,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.20 : 21,759.84 = 9,476.16 : x
  2. Step 2: Convert to fraction form
    15,763.20/21,759.84 = 9,476.16/x
  3. Step 3: Cross multiply
    15,763.20x = 21,759.84 × 9,476.16
  4. Step 4: Simplify right side
    15,763.20x = 206,199,725.41
  5. Step 5: Solve for x
    x = 206,199,725.41/15,763.20
  6. Step 6: Final answer
    x = 13,081.08

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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.