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Finding the Fourth Proportional to 20,723, 28,597.74 and 11,291.57

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Solution

The fourth proportional to 20,723, 28,597.74 and 11,291.57 is: 15,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,723 : 28,597.74 = 11,291.57 : x
  2. Step 2: Convert to fraction form
    20,723/28,597.74 = 11,291.57/x
  3. Step 3: Cross multiply
    20,723x = 28,597.74 × 11,291.57
  4. Step 4: Simplify right side
    20,723x = 322,913,240.06
  5. Step 5: Solve for x
    x = 322,913,240.06/20,723
  6. Step 6: Final answer
    x = 15,582.36

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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.