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Finding the Fourth Proportional to 55,523.26, 83,284.14 and 13,403

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Solution

The fourth proportional to 55,523.26, 83,284.14 and 13,403 is: 20,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,523.26 : 83,284.14 = 13,403 : x
  2. Step 2: Convert to fraction form
    55,523.26/83,284.14 = 13,403/x
  3. Step 3: Cross multiply
    55,523.26x = 83,284.14 × 13,403
  4. Step 4: Simplify right side
    55,523.26x = 1,116,257,328.42
  5. Step 5: Solve for x
    x = 1,116,257,328.42/55,523.26
  6. Step 6: Final answer
    x = 20,104.32

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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.