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Finding the Fourth Proportional to 35,585.44, 53,387.43 and 13,399

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Solution

The fourth proportional to 35,585.44, 53,387.43 and 13,399 is: 20,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,585.44 : 53,387.43 = 13,399 : x
  2. Step 2: Convert to fraction form
    35,585.44/53,387.43 = 13,399/x
  3. Step 3: Cross multiply
    35,585.44x = 53,387.43 × 13,399
  4. Step 4: Simplify right side
    35,585.44x = 715,338,174.57
  5. Step 5: Solve for x
    x = 715,338,174.57/35,585.44
  6. Step 6: Final answer
    x = 20,101.99

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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.