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Finding the Fourth Proportional to 14,584.68, 21,763.20 and 13,013.88

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Solution

The fourth proportional to 14,584.68, 21,763.20 and 13,013.88 is: 19,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.68 : 21,763.20 = 13,013.88 : x
  2. Step 2: Convert to fraction form
    14,584.68/21,763.20 = 13,013.88/x
  3. Step 3: Cross multiply
    14,584.68x = 21,763.20 × 13,013.88
  4. Step 4: Simplify right side
    14,584.68x = 283,223,673.22
  5. Step 5: Solve for x
    x = 283,223,673.22/14,584.68
  6. Step 6: Final answer
    x = 19,419.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.