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Finding the Fourth Proportional to 20,585.67, 28,397.75 and 13,019.25

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Solution

The fourth proportional to 20,585.67, 28,397.75 and 13,019.25 is: 17,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.67 : 28,397.75 = 13,019.25 : x
  2. Step 2: Convert to fraction form
    20,585.67/28,397.75 = 13,019.25/x
  3. Step 3: Cross multiply
    20,585.67x = 28,397.75 × 13,019.25
  4. Step 4: Simplify right side
    20,585.67x = 369,717,406.69
  5. Step 5: Solve for x
    x = 369,717,406.69/20,585.67
  6. Step 6: Final answer
    x = 17,959.94

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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.